What are the numbers divisible by 2045?

2045, 4090, 6135, 8180, 10225, 12270, 14315, 16360, 18405, 20450, 22495, 24540, 26585, 28630, 30675, 32720, 34765, 36810, 38855, 40900, 42945, 44990, 47035, 49080, 51125, 53170, 55215, 57260, 59305, 61350, 63395, 65440, 67485, 69530, 71575, 73620, 75665, 77710, 79755, 81800, 83845, 85890, 87935, 89980, 92025, 94070, 96115, 98160

There is a total of 48 numbers (up to 100000) that are divisible by 2045.
The sum of these numbers is 2404920.
The arithmetic mean of these numbers is 50102.5.

How to find the numbers divisible by 2045?

Finding all the numbers that can be divided by 2045 is essentially the same as searching for the multiples of 2045: if a number N is a multiple of 2045, then 2045 is a divisor of N.

Indeed, if we assume that N is a multiple of 2045, this means there exists an integer k such that:

$k \times 2045 = N$

Conversely, the result of N divided by 2045 is this same integer k (without any remainder):

$k = \frac{N}{2045}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2045 (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 2045 less than 100000):

1 × 2045 = 2045
2 × 2045 = 4090
3 × 2045 = 6135
...
47 × 2045 = 96115
48 × 2045 = 98160