What are the numbers divisible by 1032?

1032, 2064, 3096, 4128, 5160, 6192, 7224, 8256, 9288, 10320, 11352, 12384, 13416, 14448, 15480, 16512, 17544, 18576, 19608, 20640, 21672, 22704, 23736, 24768, 25800, 26832, 27864, 28896, 29928, 30960, 31992, 33024, 34056, 35088, 36120, 37152, 38184, 39216, 40248, 41280, 42312, 43344, 44376, 45408, 46440, 47472, 48504, 49536, 50568, 51600, 52632, 53664, 54696, 55728, 56760, 57792, 58824, 59856, 60888, 61920, 62952, 63984, 65016, 66048, 67080, 68112, 69144, 70176, 71208, 72240, 73272, 74304, 75336, 76368, 77400, 78432, 79464, 80496, 81528, 82560, 83592, 84624, 85656, 86688, 87720, 88752, 89784, 90816, 91848, 92880, 93912, 94944, 95976, 97008, 98040, 99072

There is a total of 96 numbers (up to 100000) that are divisible by 1032.
The sum of these numbers is 4804992.
The arithmetic mean of these numbers is 50052.

How to find the numbers divisible by 1032?

Finding all the numbers that can be divided by 1032 is essentially the same as searching for the multiples of 1032: if a number N is a multiple of 1032, then 1032 is a divisor of N.

Indeed, if we assume that N is a multiple of 1032, this means there exists an integer k such that:

$k \times 1032 = N$

Conversely, the result of N divided by 1032 is this same integer k (without any remainder):

$k = \frac{N}{1032}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1032 (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 1032 less than 100000):

1 × 1032 = 1032
2 × 1032 = 2064
3 × 1032 = 3096
...
95 × 1032 = 98040
96 × 1032 = 99072