Base | Representation |
---|---|
bin | 101100101111… |
… | …1001000010000 |
3 | 1122010210202200 |
4 | 1121133020100 |
5 | 22001131240 |
6 | 2154443200 |
7 | 403251414 |
oct | 131371020 |
9 | 48123680 |
10 | 23458320 |
11 | 12272646 |
12 | 7a33500 |
13 | 4b24582 |
14 | 3188d44 |
15 | 20d5930 |
hex | 165f210 |
23458320 has 120 divisors (see below), whose sum is σ = 81399552. Its totient is φ = 6048000.
The previous prime is 23458291. The next prime is 23458327. The reversal of 23458320 is 2385432.
It is a tau number, because it is divible by the number of its divisors (120).
It is not an unprimeable number, because it can be changed into a prime (23458327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21795 + ... + 22845.
Almost surely, 223458320 is an apocalyptic number.
23458320 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 23458320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40699776).
23458320 is an abundant number, since it is smaller than the sum of its proper divisors (57941232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23458320 is a wasteful number, since it uses less digits than its factorization.
23458320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 23458320 is about 4843.3789857908. The cubic root of 23458320 is about 286.2632749385.
The spelling of 23458320 in words is "twenty-three million, four hundred fifty-eight thousand, three hundred twenty".
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