What are the numbers divisible by 360?

360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600, 3960, 4320, 4680, 5040, 5400, 5760, 6120, 6480, 6840, 7200, 7560, 7920, 8280, 8640, 9000, 9360, 9720, 10080, 10440, 10800, 11160, 11520, 11880, 12240, 12600, 12960, 13320, 13680, 14040, 14400, 14760, 15120, 15480, 15840, 16200, 16560, 16920, 17280, 17640, 18000, 18360, 18720, 19080, 19440, 19800, 20160, 20520, 20880, 21240, 21600, 21960, 22320, 22680, 23040, 23400, 23760, 24120, 24480, 24840, 25200, 25560, 25920, 26280, 26640, 27000, 27360, 27720, 28080, 28440, 28800, 29160, 29520, 29880, 30240, 30600, 30960, 31320, 31680, 32040, 32400, 32760, 33120, 33480, 33840, 34200, 34560, 34920, 35280, 35640, 36000, 36360, 36720, 37080, 37440, 37800, 38160, 38520, 38880, 39240, 39600, 39960, 40320, 40680, 41040, 41400, 41760, 42120, 42480, 42840, 43200, 43560, 43920, 44280, 44640, 45000, 45360, 45720, 46080, 46440, 46800, 47160, 47520, 47880, 48240, 48600, 48960, 49320, 49680, 50040, 50400, 50760, 51120, 51480, 51840, 52200, 52560, 52920, 53280, 53640, 54000, 54360, 54720, 55080, 55440, 55800, 56160, 56520, 56880, 57240, 57600, 57960, 58320, 58680, 59040, 59400, 59760, 60120, 60480, 60840, 61200, 61560, 61920, 62280, 62640, 63000, 63360, 63720, 64080, 64440, 64800, 65160, 65520, 65880, 66240, 66600, 66960, 67320, 67680, 68040, 68400, 68760, 69120, 69480, 69840, 70200, 70560, 70920, 71280, 71640, 72000, 72360, 72720, 73080, 73440, 73800, 74160, 74520, 74880, 75240, 75600, 75960, 76320, 76680, 77040, 77400, 77760, 78120, 78480, 78840, 79200, 79560, 79920, 80280, 80640, 81000, 81360, 81720, 82080, 82440, 82800, 83160, 83520, 83880, 84240, 84600, 84960, 85320, 85680, 86040, 86400, 86760, 87120, 87480, 87840, 88200, 88560, 88920, 89280, 89640, 90000, 90360, 90720, 91080, 91440, 91800, 92160, 92520, 92880, 93240, 93600, 93960, 94320, 94680, 95040, 95400, 95760, 96120, 96480, 96840, 97200, 97560, 97920, 98280, 98640, 99000, 99360, 99720

There is a total of 277 numbers (up to 100000) that are divisible by 360.
The sum of these numbers is 13861080.
The arithmetic mean of these numbers is 50040.

How to find the numbers divisible by 360?

Finding all the numbers that can be divided by 360 is essentially the same as searching for the multiples of 360: if a number N is a multiple of 360, then 360 is a divisor of N.

Indeed, if we assume that N is a multiple of 360, this means there exists an integer k such that:

$k \times 360 = N$

Conversely, the result of N divided by 360 is this same integer k (without any remainder):

$k = \frac{N}{360}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 360 (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 360 less than 100000):

1 × 360 = 360
2 × 360 = 720
3 × 360 = 1080
...
276 × 360 = 99360
277 × 360 = 99720