Base | Representation |
---|---|
bin | 101100111000… |
… | …0111110001000 |
3 | 1122021112000100 |
4 | 1121300332020 |
5 | 22011001100 |
6 | 2200205400 |
7 | 404004444 |
oct | 131607610 |
9 | 48245010 |
10 | 23531400 |
11 | 12312542 |
12 | 7a69860 |
13 | 4b4b909 |
14 | 31a7824 |
15 | 20ec400 |
hex | 1670f88 |
23531400 has 144 divisors (see below), whose sum is σ = 83783700. Its totient is φ = 5898240.
The previous prime is 23531359. The next prime is 23531401. The reversal of 23531400 is 413532.
23531400 is a `hidden beast` number, since 235 + 31 + 400 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 10614564 + 12916836 = 3258^2 + 3594^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (23531401) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30216 + ... + 30984.
Almost surely, 223531400 is an apocalyptic number.
23531400 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 23531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41891850).
23531400 is an abundant number, since it is smaller than the sum of its proper divisors (60252300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23531400 is a wasteful number, since it uses less digits than its factorization.
23531400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 808 (or 796 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 23531400 is about 4850.9174390006. The cubic root of 23531400 is about 286.5602333085.
Adding to 23531400 its reverse (413532), we get a palindrome (23944932).
The spelling of 23531400 in words is "twenty-three million, five hundred thirty-one thousand, four hundred".
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