Base | Representation |
---|---|
bin | 101100111000… |
… | …1010000010100 |
3 | 1122021120121110 |
4 | 1121301100110 |
5 | 22011020224 |
6 | 2200215020 |
7 | 404011026 |
oct | 131612024 |
9 | 48246543 |
10 | 23532564 |
11 | 12313400 |
12 | 7a6a470 |
13 | 4b4c2c3 |
14 | 31a8016 |
15 | 20ec929 |
hex | 1671414 |
23532564 has 72 divisors (see below), whose sum is σ = 63605920. Its totient is φ = 6747840.
The previous prime is 23532559. The next prime is 23532569. The reversal of 23532564 is 46523532.
It is an interprime number because it is at equal distance from previous prime (23532559) and next prime (23532569).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23532569) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27162 + ... + 28014.
Almost surely, 223532564 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23532564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31802960).
23532564 is an abundant number, since it is smaller than the sum of its proper divisors (40073356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23532564 is a wasteful number, since it uses less digits than its factorization.
23532564 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 901 (or 888 counting only the distinct ones).
The product of its digits is 21600, while the sum is 30.
The square root of 23532564 is about 4851.0374148217. The cubic root of 23532564 is about 286.5649582096.
The spelling of 23532564 in words is "twenty-three million, five hundred thirty-two thousand, five hundred sixty-four".
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