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23040720 = 2433510667
BaseRepresentation
bin101011111100…
…1001011010000
31121100120221000
41113321023100
521344300340
62141502000
7366562053
oct127711320
947316830
1023040720
111200791a
127871900
134a09481
1430baa9a
152051d30
hex15f92d0

23040720 has 80 divisors (see below), whose sum is σ = 79369920. Its totient is φ = 6143616.

The previous prime is 23040713. The next prime is 23040767. The reversal of 23040720 is 2704032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23040693 and 23040702.

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 15 ways as a sum of consecutive naturals, for example, 3174 + ... + 7493.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 223040720 is an apocalyptic number.

23040720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23040720 is an abundant number, since it is smaller than the sum of its proper divisors (56329200).

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

23040720 is a wasteful number, since it uses less digits than its factorization.

23040720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 23040720 is about 4800.0749994141. The cubic root of 23040720 is about 284.5544284061.

Adding to 23040720 its reverse (2704032), we get a palindrome (25744752).

The spelling of 23040720 in words is "twenty-three million, forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 10667 21334 32001 42668 53335 64002 85336 96003 106670 128004 160005 170672 192006 213340 256008 288009 320010 384012 426680 480015 512016 576018 640020 768024 853360 960030 1152036 1280040 1440045 1536048 1920060 2304072 2560080 2880090 3840120 4608144 5760180 7680240 11520360 23040720