What are the numbers divisible by 9012?

9012, 18024, 27036, 36048, 45060, 54072, 63084, 72096, 81108, 90120, 99132

There is a total of 11 numbers (up to 100000) that are divisible by 9012.
The sum of these numbers is 594792.
The arithmetic mean of these numbers is 54072.

How to find the numbers divisible by 9012?

Finding all the numbers that can be divided by 9012 is essentially the same as searching for the multiples of 9012: if a number N is a multiple of 9012, then 9012 is a divisor of N.

Indeed, if we assume that N is a multiple of 9012, this means there exists an integer k such that:

$k \times 9012 = N$

Conversely, the result of N divided by 9012 is this same integer k (without any remainder):

$k = \frac{N}{9012}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9012 (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 9012 less than 100000):

1 × 9012 = 9012
2 × 9012 = 18024
3 × 9012 = 27036
...
10 × 9012 = 90120
11 × 9012 = 99132