What are the numbers divisible by 460?

460, 920, 1380, 1840, 2300, 2760, 3220, 3680, 4140, 4600, 5060, 5520, 5980, 6440, 6900, 7360, 7820, 8280, 8740, 9200, 9660, 10120, 10580, 11040, 11500, 11960, 12420, 12880, 13340, 13800, 14260, 14720, 15180, 15640, 16100, 16560, 17020, 17480, 17940, 18400, 18860, 19320, 19780, 20240, 20700, 21160, 21620, 22080, 22540, 23000, 23460, 23920, 24380, 24840, 25300, 25760, 26220, 26680, 27140, 27600, 28060, 28520, 28980, 29440, 29900, 30360, 30820, 31280, 31740, 32200, 32660, 33120, 33580, 34040, 34500, 34960, 35420, 35880, 36340, 36800, 37260, 37720, 38180, 38640, 39100, 39560, 40020, 40480, 40940, 41400, 41860, 42320, 42780, 43240, 43700, 44160, 44620, 45080, 45540, 46000, 46460, 46920, 47380, 47840, 48300, 48760, 49220, 49680, 50140, 50600, 51060, 51520, 51980, 52440, 52900, 53360, 53820, 54280, 54740, 55200, 55660, 56120, 56580, 57040, 57500, 57960, 58420, 58880, 59340, 59800, 60260, 60720, 61180, 61640, 62100, 62560, 63020, 63480, 63940, 64400, 64860, 65320, 65780, 66240, 66700, 67160, 67620, 68080, 68540, 69000, 69460, 69920, 70380, 70840, 71300, 71760, 72220, 72680, 73140, 73600, 74060, 74520, 74980, 75440, 75900, 76360, 76820, 77280, 77740, 78200, 78660, 79120, 79580, 80040, 80500, 80960, 81420, 81880, 82340, 82800, 83260, 83720, 84180, 84640, 85100, 85560, 86020, 86480, 86940, 87400, 87860, 88320, 88780, 89240, 89700, 90160, 90620, 91080, 91540, 92000, 92460, 92920, 93380, 93840, 94300, 94760, 95220, 95680, 96140, 96600, 97060, 97520, 97980, 98440, 98900, 99360, 99820

There is a total of 217 numbers (up to 100000) that are divisible by 460.
The sum of these numbers is 10880380.
The arithmetic mean of these numbers is 50140.

How to find the numbers divisible by 460?

Finding all the numbers that can be divided by 460 is essentially the same as searching for the multiples of 460: if a number N is a multiple of 460, then 460 is a divisor of N.

Indeed, if we assume that N is a multiple of 460, this means there exists an integer k such that:

$k \times 460 = N$

Conversely, the result of N divided by 460 is this same integer k (without any remainder):

$k = \frac{N}{460}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 460 (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 460 less than 100000):

1 × 460 = 460
2 × 460 = 920
3 × 460 = 1380
...
216 × 460 = 99360
217 × 460 = 99820