What are the numbers divisible by 4010?

4010, 8020, 12030, 16040, 20050, 24060, 28070, 32080, 36090, 40100, 44110, 48120, 52130, 56140, 60150, 64160, 68170, 72180, 76190, 80200, 84210, 88220, 92230, 96240

There is a total of 24 numbers (up to 100000) that are divisible by 4010.
The sum of these numbers is 1203000.
The arithmetic mean of these numbers is 50125.

How to find the numbers divisible by 4010?

Finding all the numbers that can be divided by 4010 is essentially the same as searching for the multiples of 4010: if a number N is a multiple of 4010, then 4010 is a divisor of N.

Indeed, if we assume that N is a multiple of 4010, this means there exists an integer k such that:

$k \times 4010 = N$

Conversely, the result of N divided by 4010 is this same integer k (without any remainder):

$k = \frac{N}{4010}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4010 (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 4010 less than 100000):

1 × 4010 = 4010
2 × 4010 = 8020
3 × 4010 = 12030
...
23 × 4010 = 92230
24 × 4010 = 96240