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23965116 = 2237253769
BaseRepresentation
bin101101101101…
…0110110111100
31200002112221220
41123122312330
522113340431
62213353340
7410462100
oct133326674
950075856
1023965116
111258938a
128038850
134c71156
14327b900
152185b96
hex16dadbc

23965116 has 72 divisors (see below), whose sum is σ = 66361680. Its totient is φ = 6709248.

The previous prime is 23965093. The next prime is 23965133. The reversal of 23965116 is 61156932.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30780 + ... + 31548.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 223965116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23965116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33180840).

23965116 is an abundant number, since it is smaller than the sum of its proper divisors (42396564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23965116 is a wasteful number, since it uses less digits than its factorization.

23965116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 23965116 is about 4895.4178575480. The cubic root of 23965116 is about 288.3100923126.

The spelling of 23965116 in words is "twenty-three million, nine hundred sixty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 769 1113 1484 1538 2226 2307 2597 3076 4452 4614 5194 5383 7791 9228 10388 10766 15582 16149 21532 31164 32298 37681 40757 64596 75362 81514 113043 122271 150724 163028 226086 244542 285299 452172 489084 570598 855897 1141196 1711794 1997093 3423588 3994186 5991279 7988372 11982558 23965116