What are the numbers divisible by 8145?

8145, 16290, 24435, 32580, 40725, 48870, 57015, 65160, 73305, 81450, 89595, 97740

There is a total of 12 numbers (up to 100000) that are divisible by 8145.
The sum of these numbers is 635310.
The arithmetic mean of these numbers is 52942.5.

How to find the numbers divisible by 8145?

Finding all the numbers that can be divided by 8145 is essentially the same as searching for the multiples of 8145: if a number N is a multiple of 8145, then 8145 is a divisor of N.

Indeed, if we assume that N is a multiple of 8145, this means there exists an integer k such that:

$k \times 8145 = N$

Conversely, the result of N divided by 8145 is this same integer k (without any remainder):

$k = \frac{N}{8145}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8145 (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 8145 less than 100000):

1 × 8145 = 8145
2 × 8145 = 16290
3 × 8145 = 24435
...
11 × 8145 = 89595
12 × 8145 = 97740