What are the numbers divisible by 8190?

8190, 16380, 24570, 32760, 40950, 49140, 57330, 65520, 73710, 81900, 90090, 98280

There is a total of 12 numbers (up to 100000) that are divisible by 8190.
The sum of these numbers is 638820.
The arithmetic mean of these numbers is 53235.

How to find the numbers divisible by 8190?

Finding all the numbers that can be divided by 8190 is essentially the same as searching for the multiples of 8190: if a number N is a multiple of 8190, then 8190 is a divisor of N.

Indeed, if we assume that N is a multiple of 8190, this means there exists an integer k such that:

$k \times 8190 = N$

Conversely, the result of N divided by 8190 is this same integer k (without any remainder):

$k = \frac{N}{8190}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8190 (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 8190 less than 100000):

1 × 8190 = 8190
2 × 8190 = 16380
3 × 8190 = 24570
...
11 × 8190 = 90090
12 × 8190 = 98280