What are the numbers divisible by 4070?

4070, 8140, 12210, 16280, 20350, 24420, 28490, 32560, 36630, 40700, 44770, 48840, 52910, 56980, 61050, 65120, 69190, 73260, 77330, 81400, 85470, 89540, 93610, 97680

There is a total of 24 numbers (up to 100000) that are divisible by 4070.
The sum of these numbers is 1221000.
The arithmetic mean of these numbers is 50875.

How to find the numbers divisible by 4070?

Finding all the numbers that can be divided by 4070 is essentially the same as searching for the multiples of 4070: if a number N is a multiple of 4070, then 4070 is a divisor of N.

Indeed, if we assume that N is a multiple of 4070, this means there exists an integer k such that:

$k \times 4070 = N$

Conversely, the result of N divided by 4070 is this same integer k (without any remainder):

$k = \frac{N}{4070}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4070 (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 4070 less than 100000):

1 × 4070 = 4070
2 × 4070 = 8140
3 × 4070 = 12210
...
23 × 4070 = 93610
24 × 4070 = 97680