What are the numbers divisible by 6060?

6060, 12120, 18180, 24240, 30300, 36360, 42420, 48480, 54540, 60600, 66660, 72720, 78780, 84840, 90900, 96960

There is a total of 16 numbers (up to 100000) that are divisible by 6060.
The sum of these numbers is 824160.
The arithmetic mean of these numbers is 51510.

How to find the numbers divisible by 6060?

Finding all the numbers that can be divided by 6060 is essentially the same as searching for the multiples of 6060: if a number N is a multiple of 6060, then 6060 is a divisor of N.

Indeed, if we assume that N is a multiple of 6060, this means there exists an integer k such that:

$k \times 6060 = N$

Conversely, the result of N divided by 6060 is this same integer k (without any remainder):

$k = \frac{N}{6060}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6060 (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 6060 less than 100000):

1 × 6060 = 6060
2 × 6060 = 12120
3 × 6060 = 18180
...
15 × 6060 = 90900
16 × 6060 = 96960