What are the numbers divisible by 2090?

2090, 4180, 6270, 8360, 10450, 12540, 14630, 16720, 18810, 20900, 22990, 25080, 27170, 29260, 31350, 33440, 35530, 37620, 39710, 41800, 43890, 45980, 48070, 50160, 52250, 54340, 56430, 58520, 60610, 62700, 64790, 66880, 68970, 71060, 73150, 75240, 77330, 79420, 81510, 83600, 85690, 87780, 89870, 91960, 94050, 96140, 98230

There is a total of 47 numbers (up to 100000) that are divisible by 2090.
The sum of these numbers is 2357520.
The arithmetic mean of these numbers is 50160.

How to find the numbers divisible by 2090?

Finding all the numbers that can be divided by 2090 is essentially the same as searching for the multiples of 2090: if a number N is a multiple of 2090, then 2090 is a divisor of N.

Indeed, if we assume that N is a multiple of 2090, this means there exists an integer k such that:

$k \times 2090 = N$

Conversely, the result of N divided by 2090 is this same integer k (without any remainder):

$k = \frac{N}{2090}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2090 (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 2090 less than 100000):

1 × 2090 = 2090
2 × 2090 = 4180
3 × 2090 = 6270
...
46 × 2090 = 96140
47 × 2090 = 98230