What are the numbers divisible by 4090?

4090, 8180, 12270, 16360, 20450, 24540, 28630, 32720, 36810, 40900, 44990, 49080, 53170, 57260, 61350, 65440, 69530, 73620, 77710, 81800, 85890, 89980, 94070, 98160

There is a total of 24 numbers (up to 100000) that are divisible by 4090.
The sum of these numbers is 1227000.
The arithmetic mean of these numbers is 51125.

How to find the numbers divisible by 4090?

Finding all the numbers that can be divided by 4090 is essentially the same as searching for the multiples of 4090: if a number N is a multiple of 4090, then 4090 is a divisor of N.

Indeed, if we assume that N is a multiple of 4090, this means there exists an integer k such that:

$k \times 4090 = N$

Conversely, the result of N divided by 4090 is this same integer k (without any remainder):

$k = \frac{N}{4090}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4090 (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 4090 less than 100000):

1 × 4090 = 4090
2 × 4090 = 8180
3 × 4090 = 12270
...
23 × 4090 = 94070
24 × 4090 = 98160