What are the numbers divisible by 5145?

5145, 10290, 15435, 20580, 25725, 30870, 36015, 41160, 46305, 51450, 56595, 61740, 66885, 72030, 77175, 82320, 87465, 92610, 97755

There is a total of 19 numbers (up to 100000) that are divisible by 5145.
The sum of these numbers is 977550.
The arithmetic mean of these numbers is 51450.

How to find the numbers divisible by 5145?

Finding all the numbers that can be divided by 5145 is essentially the same as searching for the multiples of 5145: if a number N is a multiple of 5145, then 5145 is a divisor of N.

Indeed, if we assume that N is a multiple of 5145, this means there exists an integer k such that:

$k \times 5145 = N$

Conversely, the result of N divided by 5145 is this same integer k (without any remainder):

$k = \frac{N}{5145}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5145 (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 5145 less than 100000):

1 × 5145 = 5145
2 × 5145 = 10290
3 × 5145 = 15435
...
18 × 5145 = 92610
19 × 5145 = 97755