Base | Representation |
---|---|
bin | 101101000100… |
… | …1010110100000 |
3 | 1122110121000000 |
4 | 1122021112200 |
5 | 22022200024 |
6 | 2202300000 |
7 | 404601546 |
oct | 132112640 |
9 | 48417000 |
10 | 23631264 |
11 | 12380578 |
12 | 7ab7600 |
13 | 4b851c7 |
14 | 31d1d96 |
15 | 211bcc9 |
hex | 16895a0 |
23631264 has 84 divisors (see below), whose sum is σ = 69823026. Its totient is φ = 7869312.
The previous prime is 23631263. The next prime is 23631277. The reversal of 23631264 is 46213632.
23631264 is a `hidden beast` number, since 2 + 3 + 631 + 26 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 23619600 + 11664 = 4860^2 + 108^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (23631263) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22822 + ... + 23834.
Almost surely, 223631264 is an apocalyptic number.
23631264 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 23631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34911513).
23631264 is an abundant number, since it is smaller than the sum of its proper divisors (46191762).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23631264 is an equidigital number, since it uses as much as digits as its factorization.
23631264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1041 (or 1018 counting only the distinct ones).
The product of its digits is 5184, while the sum is 27.
The square root of 23631264 is about 4861.1998518884. The cubic root of 23631264 is about 286.9650351768.
Adding to 23631264 its reverse (46213632), we get a palindrome (69844896).
The spelling of 23631264 in words is "twenty-three million, six hundred thirty-one thousand, two hundred sixty-four".
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