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23040960 = 263524001
BaseRepresentation
bin101011111100…
…1001111000000
31121100121020220
41113321033000
521344302320
62141503040
7366562545
oct127711700
947317226
1023040960
1112008018
127871a80
134a09607
1430babcc
152051e40
hex15f93c0

23040960 has 56 divisors (see below), whose sum is σ = 73158096. Its totient is φ = 6144000.

The previous prime is 23040931. The next prime is 23040971. The reversal of 23040960 is 6904032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23040960.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11041 + ... + 12960.

Almost surely, 223040960 is an apocalyptic number.

23040960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23040960 is an abundant number, since it is smaller than the sum of its proper divisors (50117136).

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

23040960 is a wasteful number, since it uses less digits than its factorization.

23040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24021 (or 24011 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23040960 is about 4800.0999989584. The cubic root of 23040960 is about 284.5554164080. Note that the first 3 decimals are identical.

Adding to 23040960 its reverse (6904032), we get a palindrome (29944992).

The spelling of 23040960 in words is "twenty-three million, forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 24001 48002 72003 96004 120005 144006 192008 240010 288012 360015 384016 480020 576024 720030 768032 960040 1152048 1440060 1536064 1920080 2304096 2880120 3840160 4608192 5760240 7680320 11520480 23040960