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23040032 = 2517411033
BaseRepresentation
bin101011111100…
…1000000100000
31121100112222112
41113321000200
521344240112
62141454452
7366560051
oct127710040
947315875
1023040032
1112007354
127871428
134a09072
1430ba728
152051a22
hex15f9020

23040032 has 48 divisors (see below), whose sum is σ = 49247352. Its totient is φ = 10567680.

The previous prime is 23040023. The next prime is 23040047. The reversal of 23040032 is 23004032.

It can be written as a sum of positive squares in 4 ways, for example, as 21864976 + 1175056 = 4676^2 + 1084^2 .

It is a super-2 number, since 2×230400322 = 1061686149122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23039989 and 23040016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21788 + ... + 22820.

Almost surely, 223040032 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 23040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24623676).

23040032 is an abundant number, since it is smaller than the sum of its proper divisors (26207320).

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

23040032 is a wasteful number, since it uses less digits than its factorization.

23040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 23040032 is about 4800.0033333322. The cubic root of 23040032 is about 284.5515960959.

Adding to 23040032 its reverse (23004032), we get a palindrome (46044064).

The spelling of 23040032 in words is "twenty-three million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1033 1312 1394 2066 2788 4132 5576 8264 11152 16528 17561 22304 33056 35122 42353 70244 84706 140488 169412 280976 338824 561952 677648 720001 1355296 1440002 2880004 5760008 11520016 23040032