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23057928 = 23322931093
BaseRepresentation
bin101011111110…
…1011000001000
31121101110112100
41113331120020
521400323203
62142113400
7366663165
oct127753010
947343470
1023057928
1112019843
12787b860
134a1425a
1430c306c
152056ea3
hex15fd608

23057928 has 48 divisors (see below), whose sum is σ = 62719020. Its totient is φ = 7652736.

The previous prime is 23057927. The next prime is 23057941. The reversal of 23057928 is 82975032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15539364 + 7518564 = 3942^2 + 2742^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23057892 and 23057901.

It is not an unprimeable number, because it can be changed into a prime (23057921) 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 11 ways as a sum of consecutive naturals, for example, 20550 + ... + 21642.

Almost surely, 223057928 is an apocalyptic number.

It is an amenable number.

23057928 is an abundant number, since it is smaller than the sum of its proper divisors (39661092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23057928 is a wasteful number, since it uses less digits than its factorization.

23057928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 23057928 is about 4801.8671368542. The cubic root of 23057928 is about 284.6252507602.

The spelling of 23057928 in words is "twenty-three million, fifty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1093 1172 1758 2186 2344 2637 3279 3516 4372 5274 6558 7032 8744 9837 10548 13116 19674 21096 26232 39348 78696 320249 640498 960747 1280996 1921494 2561992 2882241 3842988 5764482 7685976 11528964 23057928