What are the numbers divisible by 2020?

2020, 4040, 6060, 8080, 10100, 12120, 14140, 16160, 18180, 20200, 22220, 24240, 26260, 28280, 30300, 32320, 34340, 36360, 38380, 40400, 42420, 44440, 46460, 48480, 50500, 52520, 54540, 56560, 58580, 60600, 62620, 64640, 66660, 68680, 70700, 72720, 74740, 76760, 78780, 80800, 82820, 84840, 86860, 88880, 90900, 92920, 94940, 96960, 98980

There is a total of 49 numbers (up to 100000) that are divisible by 2020.
The sum of these numbers is 2474500.
The arithmetic mean of these numbers is 50500.

How to find the numbers divisible by 2020?

Finding all the numbers that can be divided by 2020 is essentially the same as searching for the multiples of 2020: if a number N is a multiple of 2020, then 2020 is a divisor of N.

Indeed, if we assume that N is a multiple of 2020, this means there exists an integer k such that:

$k \times 2020 = N$

Conversely, the result of N divided by 2020 is this same integer k (without any remainder):

$k = \frac{N}{2020}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2020 (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 2020 less than 100000):

1 × 2020 = 2020
2 × 2020 = 4040
3 × 2020 = 6060
...
48 × 2020 = 96960
49 × 2020 = 98980