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23028480 = 283251999
BaseRepresentation
bin101011111011…
…0001100000000
31121022222010200
41113312030000
521343402410
62141325200
7366511266
oct127661400
947288120
1023028480
1111aa9702
127866800
134a03a27
1430b6436
15204d3c0
hex15f6300

23028480 has 108 divisors (see below), whose sum is σ = 79716000. Its totient is φ = 6137856.

The previous prime is 23028463. The next prime is 23028493. The reversal of 23028480 is 8482032.

It is a super-2 number, since 2×230284802 = 1060621782220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10521 + ... + 12519.

Almost surely, 223028480 is an apocalyptic number.

23028480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39858000).

23028480 is an abundant number, since it is smaller than the sum of its proper divisors (56687520).

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

23028480 is a wasteful number, since it uses less digits than its factorization.

23028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23028480 is about 4798.7998499625. The cubic root of 23028480 is about 284.5040312087.

The spelling of 23028480 in words is "twenty-three million, twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 1999 2304 2880 3840 3998 5760 5997 7996 9995 11520 11994 15992 17991 19990 23988 29985 31984 35982 39980 47976 59970 63968 71964 79960 89955 95952 119940 127936 143928 159920 179910 191904 239880 255872 287856 319840 359820 383808 479760 511744 575712 639680 719640 767616 959520 1151424 1279360 1439280 1535232 1919040 2302848 2558720 2878560 3838080 4605696 5757120 7676160 11514240 23028480