Base | Representation |
---|---|
bin | 101100001000… |
… | …0110011110000 |
3 | 1121112111201012 |
4 | 1120100303300 |
5 | 21410400040 |
6 | 2143530052 |
7 | 400444220 |
oct | 130206360 |
9 | 47474635 |
10 | 23137520 |
11 | 1207361a |
12 | 78b9928 |
13 | 4a41553 |
14 | 3104080 |
15 | 2070865 |
hex | 1610cf0 |
23137520 has 80 divisors (see below), whose sum is σ = 62376960. Its totient is φ = 7817472.
The previous prime is 23137511. The next prime is 23137529. The reversal of 23137520 is 2573132.
It is an interprime number because it is at equal distance from previous prime (23137511) and next prime (23137529).
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23137529) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43979 + ... + 44501.
It is an arithmetic number, because the mean of its divisors is an integer number (779712).
Almost surely, 223137520 is an apocalyptic number.
23137520 is a gapful number since it is divisible by the number (20) 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 23137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31188480).
23137520 is an abundant number, since it is smaller than the sum of its proper divisors (39239440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23137520 is a wasteful number, since it uses less digits than its factorization.
23137520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 622 (or 616 counting only the distinct ones).
The product of its (nonzero) digits is 1260, while the sum is 23.
The square root of 23137520 is about 4810.1476068828. The cubic root of 23137520 is about 284.9523671292.
The spelling of 23137520 in words is "twenty-three million, one hundred thirty-seven thousand, five hundred twenty".
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