What are the numbers divisible by 8100?

8100, 16200, 24300, 32400, 40500, 48600, 56700, 64800, 72900, 81000, 89100, 97200

There is a total of 12 numbers (up to 100000) that are divisible by 8100.
The sum of these numbers is 631800.
The arithmetic mean of these numbers is 52650.

How to find the numbers divisible by 8100?

Finding all the numbers that can be divided by 8100 is essentially the same as searching for the multiples of 8100: if a number N is a multiple of 8100, then 8100 is a divisor of N.

Indeed, if we assume that N is a multiple of 8100, this means there exists an integer k such that:

$k \times 8100 = N$

Conversely, the result of N divided by 8100 is this same integer k (without any remainder):

$k = \frac{N}{8100}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8100 (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 8100 less than 100000):

1 × 8100 = 8100
2 × 8100 = 16200
3 × 8100 = 24300
...
11 × 8100 = 89100
12 × 8100 = 97200