What are the numbers divisible by 1024?

1024, 2048, 3072, 4096, 5120, 6144, 7168, 8192, 9216, 10240, 11264, 12288, 13312, 14336, 15360, 16384, 17408, 18432, 19456, 20480, 21504, 22528, 23552, 24576, 25600, 26624, 27648, 28672, 29696, 30720, 31744, 32768, 33792, 34816, 35840, 36864, 37888, 38912, 39936, 40960, 41984, 43008, 44032, 45056, 46080, 47104, 48128, 49152, 50176, 51200, 52224, 53248, 54272, 55296, 56320, 57344, 58368, 59392, 60416, 61440, 62464, 63488, 64512, 65536, 66560, 67584, 68608, 69632, 70656, 71680, 72704, 73728, 74752, 75776, 76800, 77824, 78848, 79872, 80896, 81920, 82944, 83968, 84992, 86016, 87040, 88064, 89088, 90112, 91136, 92160, 93184, 94208, 95232, 96256, 97280, 98304, 99328

There is a total of 97 numbers (up to 100000) that are divisible by 1024.
The sum of these numbers is 4867072.
The arithmetic mean of these numbers is 50176.

How to find the numbers divisible by 1024?

Finding all the numbers that can be divided by 1024 is essentially the same as searching for the multiples of 1024: if a number N is a multiple of 1024, then 1024 is a divisor of N.

Indeed, if we assume that N is a multiple of 1024, this means there exists an integer k such that:

$k \times 1024 = N$

Conversely, the result of N divided by 1024 is this same integer k (without any remainder):

$k = \frac{N}{1024}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1024 (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 1024 less than 100000):

1 × 1024 = 1024
2 × 1024 = 2048
3 × 1024 = 3072
...
96 × 1024 = 98304
97 × 1024 = 99328