What are the numbers divisible by 2016?

2016, 4032, 6048, 8064, 10080, 12096, 14112, 16128, 18144, 20160, 22176, 24192, 26208, 28224, 30240, 32256, 34272, 36288, 38304, 40320, 42336, 44352, 46368, 48384, 50400, 52416, 54432, 56448, 58464, 60480, 62496, 64512, 66528, 68544, 70560, 72576, 74592, 76608, 78624, 80640, 82656, 84672, 86688, 88704, 90720, 92736, 94752, 96768, 98784

There is a total of 49 numbers (up to 100000) that are divisible by 2016.
The sum of these numbers is 2469600.
The arithmetic mean of these numbers is 50400.

How to find the numbers divisible by 2016?

Finding all the numbers that can be divided by 2016 is essentially the same as searching for the multiples of 2016: if a number N is a multiple of 2016, then 2016 is a divisor of N.

Indeed, if we assume that N is a multiple of 2016, this means there exists an integer k such that:

$k \times 2016 = N$

Conversely, the result of N divided by 2016 is this same integer k (without any remainder):

$k = \frac{N}{2016}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2016 (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 2016 less than 100000):

1 × 2016 = 2016
2 × 2016 = 4032
3 × 2016 = 6048
...
48 × 2016 = 96768
49 × 2016 = 98784