Base | Representation |
---|---|
bin | 101100011000… |
… | …0000000011010 |
3 | 1121210000000000 |
4 | 1120300000122 |
5 | 21423442211 |
6 | 2150353430 |
7 | 401515611 |
oct | 130600032 |
9 | 47700000 |
10 | 23265306 |
11 | 12150629 |
12 | 795b876 |
13 | 4a8776c |
14 | 3138878 |
15 | 2098656 |
hex | 163001a |
23265306 has 44 divisors (see below), whose sum is σ = 52612362. Its totient is φ = 7715736.
The previous prime is 23265247. The next prime is 23265313. The reversal of 23265306 is 60356232.
23265306 is a `hidden beast` number, since 2 + 3 + 2 + 653 + 0 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 13286025 + 9979281 = 3645^2 + 3159^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 23265306.
It is an unprimeable number.
It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 118000 + ... + 118196.
Almost surely, 223265306 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23265306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26306181).
23265306 is an abundant number, since it is smaller than the sum of its proper divisors (29347056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23265306 is an frugal number, since it uses more digits than its factorization.
23265306 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 229 (or 202 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
The square root of 23265306 is about 4823.4122776308. The cubic root of 23265306 is about 285.4759912866.
The spelling of 23265306 in words is "twenty-three million, two hundred sixty-five thousand, three hundred six".
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