What are the numbers divisible by 8115?

8115, 16230, 24345, 32460, 40575, 48690, 56805, 64920, 73035, 81150, 89265, 97380

There is a total of 12 numbers (up to 100000) that are divisible by 8115.
The sum of these numbers is 632970.
The arithmetic mean of these numbers is 52747.5.

How to find the numbers divisible by 8115?

Finding all the numbers that can be divided by 8115 is essentially the same as searching for the multiples of 8115: if a number N is a multiple of 8115, then 8115 is a divisor of N.

Indeed, if we assume that N is a multiple of 8115, this means there exists an integer k such that:

$k \times 8115 = N$

Conversely, the result of N divided by 8115 is this same integer k (without any remainder):

$k = \frac{N}{8115}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8115 (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 8115 less than 100000):

1 × 8115 = 8115
2 × 8115 = 16230
3 × 8115 = 24345
...
11 × 8115 = 89265
12 × 8115 = 97380