What are the numbers divisible by 4080?

4080, 8160, 12240, 16320, 20400, 24480, 28560, 32640, 36720, 40800, 44880, 48960, 53040, 57120, 61200, 65280, 69360, 73440, 77520, 81600, 85680, 89760, 93840, 97920

There is a total of 24 numbers (up to 100000) that are divisible by 4080.
The sum of these numbers is 1224000.
The arithmetic mean of these numbers is 51000.

How to find the numbers divisible by 4080?

Finding all the numbers that can be divided by 4080 is essentially the same as searching for the multiples of 4080: if a number N is a multiple of 4080, then 4080 is a divisor of N.

Indeed, if we assume that N is a multiple of 4080, this means there exists an integer k such that:

$k \times 4080 = N$

Conversely, the result of N divided by 4080 is this same integer k (without any remainder):

$k = \frac{N}{4080}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4080 (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 4080 less than 100000):

1 × 4080 = 4080
2 × 4080 = 8160
3 × 4080 = 12240
...
23 × 4080 = 93840
24 × 4080 = 97920