Base | Representation |
---|---|
bin | 101100111101… |
… | …0000111100000 |
3 | 1122100102101220 |
4 | 1121322013200 |
5 | 22013200424 |
6 | 2201055040 |
7 | 404221614 |
oct | 131720740 |
9 | 48312356 |
10 | 23568864 |
11 | 12338700 |
12 | 7a87480 |
13 | 4b62997 |
14 | 31b7344 |
15 | 2108579 |
hex | 167a1e0 |
23568864 has 72 divisors (see below), whose sum is σ = 68037480. Its totient is φ = 7138560.
The previous prime is 23568863. The next prime is 23568871. The reversal of 23568864 is 46886532.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23568863) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10602 + ... + 12630.
It is an arithmetic number, because the mean of its divisors is an integer number (944965).
Almost surely, 223568864 is an apocalyptic number.
23568864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34018740).
23568864 is an abundant number, since it is smaller than the sum of its proper divisors (44468616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23568864 is a wasteful number, since it uses less digits than its factorization.
23568864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2064 (or 2045 counting only the distinct ones).
The product of its digits is 276480, while the sum is 42.
The square root of 23568864 is about 4854.7774408308. Note that the first 3 decimals coincide. The cubic root of 23568864 is about 286.7122288016.
The spelling of 23568864 in words is "twenty-three million, five hundred sixty-eight thousand, eight hundred sixty-four".
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