What are the numbers divisible by 810?

810, 1620, 2430, 3240, 4050, 4860, 5670, 6480, 7290, 8100, 8910, 9720, 10530, 11340, 12150, 12960, 13770, 14580, 15390, 16200, 17010, 17820, 18630, 19440, 20250, 21060, 21870, 22680, 23490, 24300, 25110, 25920, 26730, 27540, 28350, 29160, 29970, 30780, 31590, 32400, 33210, 34020, 34830, 35640, 36450, 37260, 38070, 38880, 39690, 40500, 41310, 42120, 42930, 43740, 44550, 45360, 46170, 46980, 47790, 48600, 49410, 50220, 51030, 51840, 52650, 53460, 54270, 55080, 55890, 56700, 57510, 58320, 59130, 59940, 60750, 61560, 62370, 63180, 63990, 64800, 65610, 66420, 67230, 68040, 68850, 69660, 70470, 71280, 72090, 72900, 73710, 74520, 75330, 76140, 76950, 77760, 78570, 79380, 80190, 81000, 81810, 82620, 83430, 84240, 85050, 85860, 86670, 87480, 88290, 89100, 89910, 90720, 91530, 92340, 93150, 93960, 94770, 95580, 96390, 97200, 98010, 98820, 99630

There is a total of 123 numbers (up to 100000) that are divisible by 810.
The sum of these numbers is 6177060.
The arithmetic mean of these numbers is 50220.

How to find the numbers divisible by 810?

Finding all the numbers that can be divided by 810 is essentially the same as searching for the multiples of 810: if a number N is a multiple of 810, then 810 is a divisor of N.

Indeed, if we assume that N is a multiple of 810, this means there exists an integer k such that:

$k \times 810 = N$

Conversely, the result of N divided by 810 is this same integer k (without any remainder):

$k = \frac{N}{810}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 810 (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 810 less than 100000):

1 × 810 = 810
2 × 810 = 1620
3 × 810 = 2430
...
122 × 810 = 98820
123 × 810 = 99630