Base | Representation |
---|---|
bin | 101101101101… |
… | …1000000001000 |
3 | 1200002120202200 |
4 | 1123123000020 |
5 | 22113400304 |
6 | 2213400200 |
7 | 410463600 |
oct | 133330010 |
9 | 50076680 |
10 | 23965704 |
11 | 12589874 |
12 | 8039060 |
13 | 4c714b9 |
14 | 327bc00 |
15 | 2185e39 |
hex | 16db008 |
23965704 has 72 divisors (see below), whose sum is σ = 75515310. Its totient is φ = 6846336.
The previous prime is 23965703. The next prime is 23965709. The reversal of 23965704 is 40756932.
It can be written as a sum of positive squares in only one way, i.e., 23328900 + 636804 = 4830^2 + 798^2 .
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 (36).
It is not an unprimeable number, because it can be changed into a prime (23965703) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132 + ... + 6924.
Almost surely, 223965704 is an apocalyptic number.
23965704 is a gapful number since it is divisible by the number (24) 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 23965704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37757655).
23965704 is an abundant number, since it is smaller than the sum of its proper divisors (51549606).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23965704 is a wasteful number, since it uses less digits than its factorization.
23965704 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6819 (or 6805 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 23965704 is about 4895.4779133400. The cubic root of 23965704 is about 288.3124502530.
It can be divided in two parts, 2396 and 5704, that added together give a square (8100 = 902).
The spelling of 23965704 in words is "twenty-three million, nine hundred sixty-five thousand, seven hundred four".
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