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12319872 = 27332083
BaseRepresentation
bin101110111111…
…110010000000
3212011220200120
4232333302000
511123213442
61120020240
7206500665
oct56776200
925156616
1012319872
116a55114
124161680
132724786
1418c9a6c
1511354ec
hexbbfc80

12319872 has 32 divisors (see below), whose sum is σ = 32725680. Its totient is φ = 4106496.

The previous prime is 12319871. The next prime is 12319877. The reversal of 12319872 is 27891321.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12319871) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15658 + ... + 16425.

Almost surely, 212319872 is an apocalyptic number.

12319872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12319872 is an abundant number, since it is smaller than the sum of its proper divisors (20405808).

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

12319872 is an equidigital number, since it uses as much as digits as its factorization.

12319872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32100 (or 32088 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 12319872 is about 3509.9675212173. The cubic root of 12319872 is about 230.9592701938.

The spelling of 12319872 in words is "twelve million, three hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 32083 64166 96249 128332 192498 256664 384996 513328 769992 1026656 1539984 2053312 3079968 4106624 6159936 12319872