What are the numbers divisible by 5010?

5010, 10020, 15030, 20040, 25050, 30060, 35070, 40080, 45090, 50100, 55110, 60120, 65130, 70140, 75150, 80160, 85170, 90180, 95190

There is a total of 19 numbers (up to 100000) that are divisible by 5010.
The sum of these numbers is 951900.
The arithmetic mean of these numbers is 50100.

How to find the numbers divisible by 5010?

Finding all the numbers that can be divided by 5010 is essentially the same as searching for the multiples of 5010: if a number N is a multiple of 5010, then 5010 is a divisor of N.

Indeed, if we assume that N is a multiple of 5010, this means there exists an integer k such that:

$k \times 5010 = N$

Conversely, the result of N divided by 5010 is this same integer k (without any remainder):

$k = \frac{N}{5010}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5010 (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 5010 less than 100000):

1 × 5010 = 5010
2 × 5010 = 10020
3 × 5010 = 15030
...
18 × 5010 = 90180
19 × 5010 = 95190