What are the numbers divisible by 8010?

8010, 16020, 24030, 32040, 40050, 48060, 56070, 64080, 72090, 80100, 88110, 96120

There is a total of 12 numbers (up to 100000) that are divisible by 8010.
The sum of these numbers is 624780.
The arithmetic mean of these numbers is 52065.

How to find the numbers divisible by 8010?

Finding all the numbers that can be divided by 8010 is essentially the same as searching for the multiples of 8010: if a number N is a multiple of 8010, then 8010 is a divisor of N.

Indeed, if we assume that N is a multiple of 8010, this means there exists an integer k such that:

$k \times 8010 = N$

Conversely, the result of N divided by 8010 is this same integer k (without any remainder):

$k = \frac{N}{8010}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8010 (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 8010 less than 100000):

1 × 8010 = 8010
2 × 8010 = 16020
3 × 8010 = 24030
...
11 × 8010 = 88110
12 × 8010 = 96120