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13023864 = 2332725841
BaseRepresentation
bin110001101011…
…101001111000
3220111200101100
4301223221320
511313230424
61143051400
7215462310
oct61535170
926450340
1013023864
117396027
124440b60
132910039
141a30440
151223dc9
hexc6ba78

13023864 has 48 divisors (see below), whose sum is σ = 40313520. Its totient is φ = 3720960.

The previous prime is 13023859. The next prime is 13023877. The reversal of 13023864 is 46832031.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 12417 + ... + 13424.

It is an arithmetic number, because the mean of its divisors is an integer number (839865).

Almost surely, 213023864 is an apocalyptic number.

13023864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13023864 is an abundant number, since it is smaller than the sum of its proper divisors (27289656).

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

13023864 is a wasteful number, since it uses less digits than its factorization.

13023864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25860 (or 25853 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13023864 is about 3608.8590994939. The cubic root of 13023864 is about 235.2772583901.

Adding to 13023864 its reverse (46832031), we get a palindrome (59855895).

The spelling of 13023864 in words is "thirteen million, twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 25841 51682 77523 103364 155046 180887 206728 232569 310092 361774 465138 542661 620184 723548 930276 1085322 1447096 1627983 1860552 2170644 3255966 4341288 6511932 13023864