What are the numbers divisible by 870?

870, 1740, 2610, 3480, 4350, 5220, 6090, 6960, 7830, 8700, 9570, 10440, 11310, 12180, 13050, 13920, 14790, 15660, 16530, 17400, 18270, 19140, 20010, 20880, 21750, 22620, 23490, 24360, 25230, 26100, 26970, 27840, 28710, 29580, 30450, 31320, 32190, 33060, 33930, 34800, 35670, 36540, 37410, 38280, 39150, 40020, 40890, 41760, 42630, 43500, 44370, 45240, 46110, 46980, 47850, 48720, 49590, 50460, 51330, 52200, 53070, 53940, 54810, 55680, 56550, 57420, 58290, 59160, 60030, 60900, 61770, 62640, 63510, 64380, 65250, 66120, 66990, 67860, 68730, 69600, 70470, 71340, 72210, 73080, 73950, 74820, 75690, 76560, 77430, 78300, 79170, 80040, 80910, 81780, 82650, 83520, 84390, 85260, 86130, 87000, 87870, 88740, 89610, 90480, 91350, 92220, 93090, 93960, 94830, 95700, 96570, 97440, 98310, 99180

There is a total of 114 numbers (up to 100000) that are divisible by 870.
The sum of these numbers is 5702850.
The arithmetic mean of these numbers is 50025.

How to find the numbers divisible by 870?

Finding all the numbers that can be divided by 870 is essentially the same as searching for the multiples of 870: if a number N is a multiple of 870, then 870 is a divisor of N.

Indeed, if we assume that N is a multiple of 870, this means there exists an integer k such that:

$k \times 870 = N$

Conversely, the result of N divided by 870 is this same integer k (without any remainder):

$k = \frac{N}{870}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 870 (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 870 less than 100000):

1 × 870 = 870
2 × 870 = 1740
3 × 870 = 2610
...
113 × 870 = 98310
114 × 870 = 99180