Base | Representation |
---|---|
bin | 101100011010… |
… | …0111110001000 |
3 | 1121211000220010 |
4 | 1120310332020 |
5 | 21430120030 |
6 | 2151031520 |
7 | 401632110 |
oct | 130647610 |
9 | 47730803 |
10 | 23285640 |
11 | 12164934 |
12 | 796b5a0 |
13 | 4a93ab1 |
14 | 3142040 |
15 | 209e6b0 |
hex | 1634f88 |
23285640 has 128 divisors (see below), whose sum is σ = 84096000. Its totient is φ = 5038848.
The previous prime is 23285623. The next prime is 23285641. The reversal of 23285640 is 4658232.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 23285598 and 23285607.
It is not an unprimeable number, because it can be changed into a prime (23285641) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15231 + ... + 16689.
It is an arithmetic number, because the mean of its divisors is an integer number (657000).
Almost surely, 223285640 is an apocalyptic number.
23285640 is a gapful number since it is divisible by the number (20) 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 23285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42048000).
23285640 is an abundant number, since it is smaller than the sum of its proper divisors (60810360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23285640 is a wasteful number, since it uses less digits than its factorization.
23285640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1499 (or 1495 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 30.
The square root of 23285640 is about 4825.5196611350. The cubic root of 23285640 is about 285.5591362417.
The spelling of 23285640 in words is "twenty-three million, two hundred eighty-five thousand, six hundred forty".
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