What are the numbers divisible by 9090?

9090, 18180, 27270, 36360, 45450, 54540, 63630, 72720, 81810, 90900, 99990

There is a total of 11 numbers (up to 100000) that are divisible by 9090.
The sum of these numbers is 599940.
The arithmetic mean of these numbers is 54540.

How to find the numbers divisible by 9090?

Finding all the numbers that can be divided by 9090 is essentially the same as searching for the multiples of 9090: if a number N is a multiple of 9090, then 9090 is a divisor of N.

Indeed, if we assume that N is a multiple of 9090, this means there exists an integer k such that:

$k \times 9090 = N$

Conversely, the result of N divided by 9090 is this same integer k (without any remainder):

$k = \frac{N}{9090}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9090 (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 9090 less than 100000):

1 × 9090 = 9090
2 × 9090 = 18180
3 × 9090 = 27270
...
10 × 9090 = 90900
11 × 9090 = 99990