Base | Representation |
---|---|
bin | 101101001100… |
… | …0011010100000 |
3 | 1122120201122001 |
4 | 1122120122200 |
5 | 22031133320 |
6 | 2203453344 |
7 | 405246454 |
oct | 132303240 |
9 | 48521561 |
10 | 23692960 |
11 | 12412965 |
12 | 7b27254 |
13 | 4ba7305 |
14 | 320a664 |
15 | 213020a |
hex | 16986a0 |
23692960 has 48 divisors (see below), whose sum is σ = 56266056. Its totient is φ = 9427968.
The previous prime is 23692939. The next prime is 23693011. The reversal of 23692960 is 6929632.
It can be written as a sum of positive squares in 4 ways, for example, as 20830096 + 2862864 = 4564^2 + 1692^2 .
It is a super-2 number, since 2×236929602 = 1122712707123200, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59482 + ... + 59878.
Almost surely, 223692960 is an apocalyptic number.
23692960 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 23692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28133028).
23692960 is an abundant number, since it is smaller than the sum of its proper divisors (32573096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23692960 is a wasteful number, since it uses less digits than its factorization.
23692960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 785 (or 777 counting only the distinct ones).
The product of its (nonzero) digits is 34992, while the sum is 37.
The square root of 23692960 is about 4867.5414738860. The cubic root of 23692960 is about 287.2145522223.
It can be divided in two parts, 2369 and 2960, that added together give a square (5329 = 732).
The spelling of 23692960 in words is "twenty-three million, six hundred ninety-two thousand, nine hundred sixty".
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