What are the numbers divisible by 130?
130, 260, 390, 520, 650, 780, 910, 1040, 1170, 1300, 1430, 1560, 1690, 1820, 1950, 2080, 2210, 2340, 2470, 2600, 2730, 2860, 2990, 3120, 3250, 3380, 3510, 3640, 3770, 3900, 4030, 4160, 4290, 4420, 4550, 4680, 4810, 4940, 5070, 5200, 5330, 5460, 5590, 5720, 5850, 5980, 6110, 6240, 6370, 6500, 6630, 6760, 6890, 7020, 7150, 7280, 7410, 7540, 7670, 7800, 7930, 8060, 8190, 8320, 8450, 8580, 8710, 8840, 8970, 9100, 9230, 9360, 9490, 9620, 9750, 9880, 10010, 10140, 10270, 10400, 10530, 10660, 10790, 10920, 11050, 11180, 11310, 11440, 11570, 11700, 11830, 11960, 12090, 12220, 12350, 12480, 12610, 12740, 12870, 13000, 13130, 13260, 13390, 13520, 13650, 13780, 13910, 14040, 14170, 14300, 14430, 14560, 14690, 14820, 14950, 15080, 15210, 15340, 15470, 15600, 15730, 15860, 15990, 16120, 16250, 16380, 16510, 16640, 16770, 16900, 17030, 17160, 17290, 17420, 17550, 17680, 17810, 17940, 18070, 18200, 18330, 18460, 18590, 18720, 18850, 18980, 19110, 19240, 19370, 19500, 19630, 19760, 19890, 20020, 20150, 20280, 20410, 20540, 20670, 20800, 20930, 21060, 21190, 21320, 21450, 21580, 21710, 21840, 21970, 22100, 22230, 22360, 22490, 22620, 22750, 22880, 23010, 23140, 23270, 23400, 23530, 23660, 23790, 23920, 24050, 24180, 24310, 24440, 24570, 24700, 24830, 24960, 25090, 25220, 25350, 25480, 25610, 25740, 25870, 26000, 26130, 26260, 26390, 26520, 26650, 26780, 26910, 27040, 27170, 27300, 27430, 27560, 27690, 27820, 27950, 28080, 28210, 28340, 28470, 28600, 28730, 28860, 28990, 29120, 29250, 29380, 29510, 29640, 29770, 29900, 30030, 30160, 30290, 30420, 30550, 30680, 30810, 30940, 31070, 31200, 31330, 31460, 31590, 31720, 31850, 31980, 32110, 32240, 32370, 32500, 32630, 32760, 32890, 33020, 33150, 33280, 33410, 33540, 33670, 33800, 33930, 34060, 34190, 34320, 34450, 34580, 34710, 34840, 34970, 35100, 35230, 35360, 35490, 35620, 35750, 35880, 36010, 36140, 36270, 36400, 36530, 36660, 36790, 36920, 37050, 37180, 37310, 37440, 37570, 37700, 37830, 37960, 38090, 38220, 38350, 38480, 38610, 38740, 38870, 39000, 39130, 39260, 39390, 39520, 39650, 39780, 39910, 40040, 40170, 40300, 40430, 40560, 40690, 40820, 40950, 41080, 41210, 41340, 41470, 41600, 41730, 41860, 41990, 42120, 42250, 42380, 42510, 42640, 42770, 42900, 43030, 43160, 43290, 43420, 43550, 43680, 43810, 43940, 44070, 44200, 44330, 44460, 44590, 44720, 44850, 44980, 45110, 45240, 45370, 45500, 45630, 45760, 45890, 46020, 46150, 46280, 46410, 46540, 46670, 46800, 46930, 47060, 47190, 47320, 47450, 47580, 47710, 47840, 47970, 48100, 48230, 48360, 48490, 48620, 48750, 48880, 49010, 49140, 49270, 49400, 49530, 49660, 49790, 49920, 50050, 50180, 50310, 50440, 50570, 50700, 50830, 50960, 51090, 51220, 51350, 51480, 51610, 51740, 51870, 52000, 52130, 52260, 52390, 52520, 52650, 52780, 52910, 53040, 53170, 53300, 53430, 53560, 53690, 53820, 53950, 54080, 54210, 54340, 54470, 54600, 54730, 54860, 54990, 55120, 55250, 55380, 55510, 55640, 55770, 55900, 56030, 56160, 56290, 56420, 56550, 56680, 56810, 56940, 57070, 57200, 57330, 57460, 57590, 57720, 57850, 57980, 58110, 58240, 58370, 58500, 58630, 58760, 58890, 59020, 59150, 59280, 59410, 59540, 59670, 59800, 59930, 60060, 60190, 60320, 60450, 60580, 60710, 60840, 60970, 61100, 61230, 61360, 61490, 61620, 61750, 61880, 62010, 62140, 62270, 62400, 62530, 62660, 62790, 62920, 63050, 63180, 63310, 63440, 63570, 63700, 63830, 63960, 64090, 64220, 64350, 64480, 64610, 64740, 64870, 65000, 65130, 65260, 65390, 65520, 65650, 65780, 65910, 66040, 66170, 66300, 66430, 66560, 66690, 66820, 66950, 67080, 67210, 67340, 67470, 67600, 67730, 67860, 67990, 68120, 68250, 68380, 68510, 68640, 68770, 68900, 69030, 69160, 69290, 69420, 69550, 69680, 69810, 69940, 70070, 70200, 70330, 70460, 70590, 70720, 70850, 70980, 71110, 71240, 71370, 71500, 71630, 71760, 71890, 72020, 72150, 72280, 72410, 72540, 72670, 72800, 72930, 73060, 73190, 73320, 73450, 73580, 73710, 73840, 73970, 74100, 74230, 74360, 74490, 74620, 74750, 74880, 75010, 75140, 75270, 75400, 75530, 75660, 75790, 75920, 76050, 76180, 76310, 76440, 76570, 76700, 76830, 76960, 77090, 77220, 77350, 77480, 77610, 77740, 77870, 78000, 78130, 78260, 78390, 78520, 78650, 78780, 78910, 79040, 79170, 79300, 79430, 79560, 79690, 79820, 79950, 80080, 80210, 80340, 80470, 80600, 80730, 80860, 80990, 81120, 81250, 81380, 81510, 81640, 81770, 81900, 82030, 82160, 82290, 82420, 82550, 82680, 82810, 82940, 83070, 83200, 83330, 83460, 83590, 83720, 83850, 83980, 84110, 84240, 84370, 84500, 84630, 84760, 84890, 85020, 85150, 85280, 85410, 85540, 85670, 85800, 85930, 86060, 86190, 86320, 86450, 86580, 86710, 86840, 86970, 87100, 87230, 87360, 87490, 87620, 87750, 87880, 88010, 88140, 88270, 88400, 88530, 88660, 88790, 88920, 89050, 89180, 89310, 89440, 89570, 89700, 89830, 89960, 90090, 90220, 90350, 90480, 90610, 90740, 90870, 91000, 91130, 91260, 91390, 91520, 91650, 91780, 91910, 92040, 92170, 92300, 92430, 92560, 92690, 92820, 92950, 93080, 93210, 93340, 93470, 93600, 93730, 93860, 93990, 94120, 94250, 94380, 94510, 94640, 94770, 94900, 95030, 95160, 95290, 95420, 95550, 95680, 95810, 95940, 96070, 96200, 96330, 96460, 96590, 96720, 96850, 96980, 97110, 97240, 97370, 97500, 97630, 97760, 97890, 98020, 98150, 98280, 98410, 98540, 98670, 98800, 98930, 99060, 99190, 99320, 99450, 99580, 99710, 99840, 99970
- There is a total of 769 numbers (up to 100000) that are divisible by 130.
- The sum of these numbers is 38488450.
- The arithmetic mean of these numbers is 50050.
How to find the numbers divisible by 130?
Finding all the numbers that can be divided by 130 is essentially the same as searching for the multiples of 130: if a number N is a multiple of 130, then 130 is a divisor of N.
Indeed, if we assume that N is a multiple of 130, this means there exists an integer k such that:
Conversely, the result of N divided by 130 is this same integer k (without any remainder):
From this we can see that, theoretically, there's an infinite quantity of multiples of 130 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).
However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 130 less than 100000):
- 1 × 130 = 130
- 2 × 130 = 260
- 3 × 130 = 390
- ...
- 768 × 130 = 99840
- 769 × 130 = 99970