Base | Representation |
---|---|
bin | 101011111111… |
… | …1010000100000 |
3 | 1121101212002200 |
4 | 1113333100200 |
5 | 21401100012 |
6 | 2142213200 |
7 | 400024512 |
oct | 127772040 |
9 | 47355080 |
10 | 23065632 |
11 | 12024607 |
12 | 7884200 |
13 | 4a17905 |
14 | 30c5bb2 |
15 | 20593dc |
hex | 15ff420 |
23065632 has 54 divisors (see below), whose sum is σ = 65825487. Its totient is φ = 7661376.
The previous prime is 23065631. The next prime is 23065649. The reversal of 23065632 is 23656032.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
23065632 is a `hidden beast` number, since 2 + 3 + 0 + 656 + 3 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 11532816 + 11532816 = 3396^2 + 3396^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=3396.
It is a junction number, because it is equal to n+sod(n) for n = 23065596 and 23065605.
It is not an unprimeable number, because it can be changed into a prime (23065631) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81363 + ... + 81645.
Almost surely, 223065632 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 23065632
23065632 is an abundant number, since it is smaller than the sum of its proper divisors (42759855).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23065632 is an equidigital number, since it uses as much as digits as its factorization.
23065632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 582 (or 288 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
The square root of 23065632 is about 4802.6692578190. The cubic root of 23065632 is about 284.6569464206.
The spelling of 23065632 in words is "twenty-three million, sixty-five thousand, six hundred thirty-two".
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