What are the numbers divisible by 8160?

8160, 16320, 24480, 32640, 40800, 48960, 57120, 65280, 73440, 81600, 89760, 97920

There is a total of 12 numbers (up to 100000) that are divisible by 8160.
The sum of these numbers is 636480.
The arithmetic mean of these numbers is 53040.

How to find the numbers divisible by 8160?

Finding all the numbers that can be divided by 8160 is essentially the same as searching for the multiples of 8160: if a number N is a multiple of 8160, then 8160 is a divisor of N.

Indeed, if we assume that N is a multiple of 8160, this means there exists an integer k such that:

$k \times 8160 = N$

Conversely, the result of N divided by 8160 is this same integer k (without any remainder):

$k = \frac{N}{8160}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8160 (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 8160 less than 100000):

1 × 8160 = 8160
2 × 8160 = 16320
3 × 8160 = 24480
...
11 × 8160 = 89760
12 × 8160 = 97920