What are the numbers divisible by 2064?

2064, 4128, 6192, 8256, 10320, 12384, 14448, 16512, 18576, 20640, 22704, 24768, 26832, 28896, 30960, 33024, 35088, 37152, 39216, 41280, 43344, 45408, 47472, 49536, 51600, 53664, 55728, 57792, 59856, 61920, 63984, 66048, 68112, 70176, 72240, 74304, 76368, 78432, 80496, 82560, 84624, 86688, 88752, 90816, 92880, 94944, 97008, 99072

There is a total of 48 numbers (up to 100000) that are divisible by 2064.
The sum of these numbers is 2427264.
The arithmetic mean of these numbers is 50568.

How to find the numbers divisible by 2064?

Finding all the numbers that can be divided by 2064 is essentially the same as searching for the multiples of 2064: if a number N is a multiple of 2064, then 2064 is a divisor of N.

Indeed, if we assume that N is a multiple of 2064, this means there exists an integer k such that:

$k \times 2064 = N$

Conversely, the result of N divided by 2064 is this same integer k (without any remainder):

$k = \frac{N}{2064}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2064 (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 2064 less than 100000):

1 × 2064 = 2064
2 × 2064 = 4128
3 × 2064 = 6192
...
47 × 2064 = 97008
48 × 2064 = 99072