What are the numbers divisible by 4040?

4040, 8080, 12120, 16160, 20200, 24240, 28280, 32320, 36360, 40400, 44440, 48480, 52520, 56560, 60600, 64640, 68680, 72720, 76760, 80800, 84840, 88880, 92920, 96960

There is a total of 24 numbers (up to 100000) that are divisible by 4040.
The sum of these numbers is 1212000.
The arithmetic mean of these numbers is 50500.

How to find the numbers divisible by 4040?

Finding all the numbers that can be divided by 4040 is essentially the same as searching for the multiples of 4040: if a number N is a multiple of 4040, then 4040 is a divisor of N.

Indeed, if we assume that N is a multiple of 4040, this means there exists an integer k such that:

$k \times 4040 = N$

Conversely, the result of N divided by 4040 is this same integer k (without any remainder):

$k = \frac{N}{4040}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4040 (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 4040 less than 100000):

1 × 4040 = 4040
2 × 4040 = 8080
3 × 4040 = 12120
...
23 × 4040 = 92920
24 × 4040 = 96960