What are the numbers divisible by 540?

540, 1080, 1620, 2160, 2700, 3240, 3780, 4320, 4860, 5400, 5940, 6480, 7020, 7560, 8100, 8640, 9180, 9720, 10260, 10800, 11340, 11880, 12420, 12960, 13500, 14040, 14580, 15120, 15660, 16200, 16740, 17280, 17820, 18360, 18900, 19440, 19980, 20520, 21060, 21600, 22140, 22680, 23220, 23760, 24300, 24840, 25380, 25920, 26460, 27000, 27540, 28080, 28620, 29160, 29700, 30240, 30780, 31320, 31860, 32400, 32940, 33480, 34020, 34560, 35100, 35640, 36180, 36720, 37260, 37800, 38340, 38880, 39420, 39960, 40500, 41040, 41580, 42120, 42660, 43200, 43740, 44280, 44820, 45360, 45900, 46440, 46980, 47520, 48060, 48600, 49140, 49680, 50220, 50760, 51300, 51840, 52380, 52920, 53460, 54000, 54540, 55080, 55620, 56160, 56700, 57240, 57780, 58320, 58860, 59400, 59940, 60480, 61020, 61560, 62100, 62640, 63180, 63720, 64260, 64800, 65340, 65880, 66420, 66960, 67500, 68040, 68580, 69120, 69660, 70200, 70740, 71280, 71820, 72360, 72900, 73440, 73980, 74520, 75060, 75600, 76140, 76680, 77220, 77760, 78300, 78840, 79380, 79920, 80460, 81000, 81540, 82080, 82620, 83160, 83700, 84240, 84780, 85320, 85860, 86400, 86940, 87480, 88020, 88560, 89100, 89640, 90180, 90720, 91260, 91800, 92340, 92880, 93420, 93960, 94500, 95040, 95580, 96120, 96660, 97200, 97740, 98280, 98820, 99360, 99900

There is a total of 185 numbers (up to 100000) that are divisible by 540.
The sum of these numbers is 9290700.
The arithmetic mean of these numbers is 50220.

How to find the numbers divisible by 540?

Finding all the numbers that can be divided by 540 is essentially the same as searching for the multiples of 540: if a number N is a multiple of 540, then 540 is a divisor of N.

Indeed, if we assume that N is a multiple of 540, this means there exists an integer k such that:

$k \times 540 = N$

Conversely, the result of N divided by 540 is this same integer k (without any remainder):

$k = \frac{N}{540}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 540 (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 540 less than 100000):

1 × 540 = 540
2 × 540 = 1080
3 × 540 = 1620
...
184 × 540 = 99360
185 × 540 = 99900