What are the numbers divisible by 8064?

8064, 16128, 24192, 32256, 40320, 48384, 56448, 64512, 72576, 80640, 88704, 96768

There is a total of 12 numbers (up to 100000) that are divisible by 8064.
The sum of these numbers is 628992.
The arithmetic mean of these numbers is 52416.

How to find the numbers divisible by 8064?

Finding all the numbers that can be divided by 8064 is essentially the same as searching for the multiples of 8064: if a number N is a multiple of 8064, then 8064 is a divisor of N.

Indeed, if we assume that N is a multiple of 8064, this means there exists an integer k such that:

$k \times 8064 = N$

Conversely, the result of N divided by 8064 is this same integer k (without any remainder):

$k = \frac{N}{8064}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8064 (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 8064 less than 100000):

1 × 8064 = 8064
2 × 8064 = 16128
3 × 8064 = 24192
...
11 × 8064 = 88704
12 × 8064 = 96768