What are the numbers divisible by 8040?

8040, 16080, 24120, 32160, 40200, 48240, 56280, 64320, 72360, 80400, 88440, 96480

There is a total of 12 numbers (up to 100000) that are divisible by 8040.
The sum of these numbers is 627120.
The arithmetic mean of these numbers is 52260.

How to find the numbers divisible by 8040?

Finding all the numbers that can be divided by 8040 is essentially the same as searching for the multiples of 8040: if a number N is a multiple of 8040, then 8040 is a divisor of N.

Indeed, if we assume that N is a multiple of 8040, this means there exists an integer k such that:

$k \times 8040 = N$

Conversely, the result of N divided by 8040 is this same integer k (without any remainder):

$k = \frac{N}{8040}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8040 (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 8040 less than 100000):

1 × 8040 = 8040
2 × 8040 = 16080
3 × 8040 = 24120
...
11 × 8040 = 88440
12 × 8040 = 96480