What are the numbers divisible by 9135?

9135, 18270, 27405, 36540, 45675, 54810, 63945, 73080, 82215, 91350

There is a total of 10 numbers (up to 100000) that are divisible by 9135.
The sum of these numbers is 502425.
The arithmetic mean of these numbers is 50242.5.

How to find the numbers divisible by 9135?

Finding all the numbers that can be divided by 9135 is essentially the same as searching for the multiples of 9135: if a number N is a multiple of 9135, then 9135 is a divisor of N.

Indeed, if we assume that N is a multiple of 9135, this means there exists an integer k such that:

$k \times 9135 = N$

Conversely, the result of N divided by 9135 is this same integer k (without any remainder):

$k = \frac{N}{9135}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9135 (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 9135 less than 100000):

1 × 9135 = 9135
2 × 9135 = 18270
3 × 9135 = 27405
...
9 × 9135 = 82215
10 × 9135 = 91350