What are the numbers divisible by 1064?

1064, 2128, 3192, 4256, 5320, 6384, 7448, 8512, 9576, 10640, 11704, 12768, 13832, 14896, 15960, 17024, 18088, 19152, 20216, 21280, 22344, 23408, 24472, 25536, 26600, 27664, 28728, 29792, 30856, 31920, 32984, 34048, 35112, 36176, 37240, 38304, 39368, 40432, 41496, 42560, 43624, 44688, 45752, 46816, 47880, 48944, 50008, 51072, 52136, 53200, 54264, 55328, 56392, 57456, 58520, 59584, 60648, 61712, 62776, 63840, 64904, 65968, 67032, 68096, 69160, 70224, 71288, 72352, 73416, 74480, 75544, 76608, 77672, 78736, 79800, 80864, 81928, 82992, 84056, 85120, 86184, 87248, 88312, 89376, 90440, 91504, 92568, 93632, 94696, 95760, 96824, 97888, 98952

There is a total of 93 numbers (up to 100000) that are divisible by 1064.
The sum of these numbers is 4650744.
The arithmetic mean of these numbers is 50008.

How to find the numbers divisible by 1064?

Finding all the numbers that can be divided by 1064 is essentially the same as searching for the multiples of 1064: if a number N is a multiple of 1064, then 1064 is a divisor of N.

Indeed, if we assume that N is a multiple of 1064, this means there exists an integer k such that:

$k \times 1064 = N$

Conversely, the result of N divided by 1064 is this same integer k (without any remainder):

$k = \frac{N}{1064}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1064 (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 1064 less than 100000):

1 × 1064 = 1064
2 × 1064 = 2128
3 × 1064 = 3192
...
92 × 1064 = 97888
93 × 1064 = 98952