What are the numbers divisible by 2070?

2070, 4140, 6210, 8280, 10350, 12420, 14490, 16560, 18630, 20700, 22770, 24840, 26910, 28980, 31050, 33120, 35190, 37260, 39330, 41400, 43470, 45540, 47610, 49680, 51750, 53820, 55890, 57960, 60030, 62100, 64170, 66240, 68310, 70380, 72450, 74520, 76590, 78660, 80730, 82800, 84870, 86940, 89010, 91080, 93150, 95220, 97290, 99360

There is a total of 48 numbers (up to 100000) that are divisible by 2070.
The sum of these numbers is 2434320.
The arithmetic mean of these numbers is 50715.

How to find the numbers divisible by 2070?

Finding all the numbers that can be divided by 2070 is essentially the same as searching for the multiples of 2070: if a number N is a multiple of 2070, then 2070 is a divisor of N.

Indeed, if we assume that N is a multiple of 2070, this means there exists an integer k such that:

$k \times 2070 = N$

Conversely, the result of N divided by 2070 is this same integer k (without any remainder):

$k = \frac{N}{2070}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2070 (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 2070 less than 100000):

1 × 2070 = 2070
2 × 2070 = 4140
3 × 2070 = 6210
...
47 × 2070 = 97290
48 × 2070 = 99360