What are the numbers divisible by 9045?

9045, 18090, 27135, 36180, 45225, 54270, 63315, 72360, 81405, 90450, 99495

There is a total of 11 numbers (up to 100000) that are divisible by 9045.
The sum of these numbers is 596970.
The arithmetic mean of these numbers is 54270.

How to find the numbers divisible by 9045?

Finding all the numbers that can be divided by 9045 is essentially the same as searching for the multiples of 9045: if a number N is a multiple of 9045, then 9045 is a divisor of N.

Indeed, if we assume that N is a multiple of 9045, this means there exists an integer k such that:

$k \times 9045 = N$

Conversely, the result of N divided by 9045 is this same integer k (without any remainder):

$k = \frac{N}{9045}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9045 (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 9045 less than 100000):

1 × 9045 = 9045
2 × 9045 = 18090
3 × 9045 = 27135
...
10 × 9045 = 90450
11 × 9045 = 99495