What are the numbers divisible by 5115?

5115, 10230, 15345, 20460, 25575, 30690, 35805, 40920, 46035, 51150, 56265, 61380, 66495, 71610, 76725, 81840, 86955, 92070, 97185

There is a total of 19 numbers (up to 100000) that are divisible by 5115.
The sum of these numbers is 971850.
The arithmetic mean of these numbers is 51150.

How to find the numbers divisible by 5115?

Finding all the numbers that can be divided by 5115 is essentially the same as searching for the multiples of 5115: if a number N is a multiple of 5115, then 5115 is a divisor of N.

Indeed, if we assume that N is a multiple of 5115, this means there exists an integer k such that:

$k \times 5115 = N$

Conversely, the result of N divided by 5115 is this same integer k (without any remainder):

$k = \frac{N}{5115}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5115 (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 5115 less than 100000):

1 × 5115 = 5115
2 × 5115 = 10230
3 × 5115 = 15345
...
18 × 5115 = 92070
19 × 5115 = 97185