Base | Representation |
---|---|
bin | 101101001011… |
… | …0001001100000 |
3 | 1122120020220100 |
4 | 1122112021200 |
5 | 22030334210 |
6 | 2203342400 |
7 | 405210426 |
oct | 132261140 |
9 | 48506810 |
10 | 23683680 |
11 | 12406999 |
12 | 7b21a00 |
13 | 4ba3017 |
14 | 3207116 |
15 | 212c5c0 |
hex | 1696260 |
23683680 has 72 divisors (see below), whose sum is σ = 80825472. Its totient is φ = 6315264.
The previous prime is 23683651. The next prime is 23683687. The reversal of 23683680 is 8638632.
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 a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23683687) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6784 + ... + 9663.
It is an arithmetic number, because the mean of its divisors is an integer number (1122576).
Almost surely, 223683680 is an apocalyptic number.
23683680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23683680 is an abundant number, since it is smaller than the sum of its proper divisors (57141792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23683680 is a wasteful number, since it uses less digits than its factorization.
23683680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16468 (or 16457 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 23683680 is about 4866.5881272201. The cubic root of 23683680 is about 287.1770488302.
The spelling of 23683680 in words is "twenty-three million, six hundred eighty-three thousand, six hundred eighty".
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