Base | Representation |
---|---|
bin | 101100001000… |
… | …0010010101000 |
3 | 1121112101210200 |
4 | 1120100102220 |
5 | 21410313100 |
6 | 2143512200 |
7 | 400435101 |
oct | 130202250 |
9 | 47471720 |
10 | 23135400 |
11 | 12071a72 |
12 | 78b8660 |
13 | 4a405b2 |
14 | 31033a8 |
15 | 206ee00 |
hex | 16104a8 |
23135400 has 72 divisors (see below), whose sum is σ = 77702430. Its totient is φ = 6168960.
The previous prime is 23135389. The next prime is 23135443. The reversal of 23135400 is 453132.
23135400 is a `hidden beast` number, since 231 + 35 + 400 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 14243076 + 8892324 = 3774^2 + 2982^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4627 + ... + 8226.
Almost surely, 223135400 is an apocalyptic number.
23135400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23135400 is an abundant number, since it is smaller than the sum of its proper divisors (54567030).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23135400 is a wasteful number, since it uses less digits than its factorization.
23135400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12875 (or 12863 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 23135400 is about 4809.9272343768. The cubic root of 23135400 is about 284.9436638416.
Adding to 23135400 its reverse (453132), we get a palindrome (23588532).
The spelling of 23135400 in words is "twenty-three million, one hundred thirty-five thousand, four hundred".
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