What are the numbers divisible by 560?

560, 1120, 1680, 2240, 2800, 3360, 3920, 4480, 5040, 5600, 6160, 6720, 7280, 7840, 8400, 8960, 9520, 10080, 10640, 11200, 11760, 12320, 12880, 13440, 14000, 14560, 15120, 15680, 16240, 16800, 17360, 17920, 18480, 19040, 19600, 20160, 20720, 21280, 21840, 22400, 22960, 23520, 24080, 24640, 25200, 25760, 26320, 26880, 27440, 28000, 28560, 29120, 29680, 30240, 30800, 31360, 31920, 32480, 33040, 33600, 34160, 34720, 35280, 35840, 36400, 36960, 37520, 38080, 38640, 39200, 39760, 40320, 40880, 41440, 42000, 42560, 43120, 43680, 44240, 44800, 45360, 45920, 46480, 47040, 47600, 48160, 48720, 49280, 49840, 50400, 50960, 51520, 52080, 52640, 53200, 53760, 54320, 54880, 55440, 56000, 56560, 57120, 57680, 58240, 58800, 59360, 59920, 60480, 61040, 61600, 62160, 62720, 63280, 63840, 64400, 64960, 65520, 66080, 66640, 67200, 67760, 68320, 68880, 69440, 70000, 70560, 71120, 71680, 72240, 72800, 73360, 73920, 74480, 75040, 75600, 76160, 76720, 77280, 77840, 78400, 78960, 79520, 80080, 80640, 81200, 81760, 82320, 82880, 83440, 84000, 84560, 85120, 85680, 86240, 86800, 87360, 87920, 88480, 89040, 89600, 90160, 90720, 91280, 91840, 92400, 92960, 93520, 94080, 94640, 95200, 95760, 96320, 96880, 97440, 98000, 98560, 99120, 99680

There is a total of 178 numbers (up to 100000) that are divisible by 560.
The sum of these numbers is 8921360.
The arithmetic mean of these numbers is 50120.

How to find the numbers divisible by 560?

Finding all the numbers that can be divided by 560 is essentially the same as searching for the multiples of 560: if a number N is a multiple of 560, then 560 is a divisor of N.

Indeed, if we assume that N is a multiple of 560, this means there exists an integer k such that:

$k \times 560 = N$

Conversely, the result of N divided by 560 is this same integer k (without any remainder):

$k = \frac{N}{560}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 560 (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 560 less than 100000):

1 × 560 = 560
2 × 560 = 1120
3 × 560 = 1680
...
177 × 560 = 99120
178 × 560 = 99680