Base | Representation |
---|---|
bin | 101101001110… |
… | …1011101110000 |
3 | 1122121210000021 |
4 | 1122131131300 |
5 | 22032314043 |
6 | 2204133224 |
7 | 405364000 |
oct | 132353560 |
9 | 48553007 |
10 | 23713648 |
11 | 12427462 |
12 | 7b37214 |
13 | 4bb385a |
14 | 3214000 |
15 | 21363ed |
hex | 169d770 |
23713648 has 80 divisors (see below), whose sum is σ = 55800000. Its totient is φ = 9746688.
The previous prime is 23713643. The next prime is 23713663. The reversal of 23713648 is 84631732.
It is a happy number.
It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23713643) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159078 + ... + 159226.
It is an arithmetic number, because the mean of its divisors is an integer number (697500).
Almost surely, 223713648 is an apocalyptic number.
23713648 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 23713648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27900000).
23713648 is an abundant number, since it is smaller than the sum of its proper divisors (32086352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23713648 is a wasteful number, since it uses less digits than its factorization.
23713648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 207 (or 187 counting only the distinct ones).
The product of its digits is 24192, while the sum is 34.
The square root of 23713648 is about 4869.6661076505. Note that the first 3 decimals coincide. The cubic root of 23713648 is about 287.2981236864.
The spelling of 23713648 in words is "twenty-three million, seven hundred thirteen thousand, six hundred forty-eight".
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