Base | Representation |
---|---|
bin | 101101100110… |
… | …1000100000000 |
3 | 1122222200110000 |
4 | 1123031010000 |
5 | 22110033413 |
6 | 2212240000 |
7 | 410135253 |
oct | 133150400 |
9 | 48880400 |
10 | 23908608 |
11 | 1254a989 |
12 | 8010000 |
13 | 4c51509 |
14 | 326509a |
15 | 2174073 |
hex | 16cd100 |
23908608 has 90 divisors (see below), whose sum is σ = 71352974. Its totient is φ = 7962624.
The previous prime is 23908607. The next prime is 23908627. The reversal of 23908608 is 80680932.
It can be written as a sum of positive squares in only one way, i.e., 22581504 + 1327104 = 4752^2 + 1152^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 3.
It is not an unprimeable number, because it can be changed into a prime (23908601) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20160 + ... + 21312.
Almost surely, 223908608 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35676487).
23908608 is an abundant number, since it is smaller than the sum of its proper divisors (47444366).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23908608 is an equidigital number, since it uses as much as digits as its factorization.
23908608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1181 (or 1158 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 23908608 is about 4889.6429317487. The cubic root of 23908608 is about 288.0833092323.
23908608 divided by its sum of digits (36) gives a triangular number (664128 = T1152).
Subtracting from 23908608 its product of nonzero digits (20736), we obtain a cube (23887872 = 2883).
The spelling of 23908608 in words is "twenty-three million, nine hundred eight thousand, six hundred eight".
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