What are the numbers divisible by 1074?

1074, 2148, 3222, 4296, 5370, 6444, 7518, 8592, 9666, 10740, 11814, 12888, 13962, 15036, 16110, 17184, 18258, 19332, 20406, 21480, 22554, 23628, 24702, 25776, 26850, 27924, 28998, 30072, 31146, 32220, 33294, 34368, 35442, 36516, 37590, 38664, 39738, 40812, 41886, 42960, 44034, 45108, 46182, 47256, 48330, 49404, 50478, 51552, 52626, 53700, 54774, 55848, 56922, 57996, 59070, 60144, 61218, 62292, 63366, 64440, 65514, 66588, 67662, 68736, 69810, 70884, 71958, 73032, 74106, 75180, 76254, 77328, 78402, 79476, 80550, 81624, 82698, 83772, 84846, 85920, 86994, 88068, 89142, 90216, 91290, 92364, 93438, 94512, 95586, 96660, 97734, 98808, 99882

There is a total of 93 numbers (up to 100000) that are divisible by 1074.
The sum of these numbers is 4694454.
The arithmetic mean of these numbers is 50478.

How to find the numbers divisible by 1074?

Finding all the numbers that can be divided by 1074 is essentially the same as searching for the multiples of 1074: if a number N is a multiple of 1074, then 1074 is a divisor of N.

Indeed, if we assume that N is a multiple of 1074, this means there exists an integer k such that:

$k \times 1074 = N$

Conversely, the result of N divided by 1074 is this same integer k (without any remainder):

$k = \frac{N}{1074}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1074 (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 1074 less than 100000):

1 × 1074 = 1074
2 × 1074 = 2148
3 × 1074 = 3222
...
92 × 1074 = 98808
93 × 1074 = 99882