Base | Representation |
---|---|
bin | 101011111000… |
… | …1010101100000 |
3 | 1121021221212200 |
4 | 1113301111200 |
5 | 21342233413 |
6 | 2141053200 |
7 | 366366330 |
oct | 127612540 |
9 | 47257780 |
10 | 23008608 |
11 | 11a95787 |
12 | 7857200 |
13 | 49c797c |
14 | 30ad0c0 |
15 | 2047573 |
hex | 15f1560 |
23008608 has 144 divisors (see below), whose sum is σ = 76186656. Its totient is φ = 6451200.
The previous prime is 23008607. The next prime is 23008613. The reversal of 23008608 is 80680032.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23008607) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203560 + ... + 203672.
It is an arithmetic number, because the mean of its divisors is an integer number (529074).
Almost surely, 223008608 is an apocalyptic number.
23008608 is a gapful number since it is divisible by the number (28) 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 23008608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38093328).
23008608 is an abundant number, since it is smaller than the sum of its proper divisors (53178048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23008608 is a wasteful number, since it uses less digits than its factorization.
23008608 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 237 (or 226 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 23008608 is about 4796.7288853968. The cubic root of 23008608 is about 284.4221718310.
The spelling of 23008608 in words is "twenty-three million, eight thousand, six hundred eight".
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