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13232832 = 263413
BaseRepresentation
bin110010011110…
…101011000000
3220220022000220
4302132223000
511341422312
61151343040
7220322454
oct62365300
926808026
1013232832
117519028
124521a80
1329841a2
141a86664
151265c8c
hexc9eac0

13232832 has 56 divisors (see below), whose sum is σ = 35887152. Its totient is φ = 4303360.

The previous prime is 13232801. The next prime is 13232867. The reversal of 13232832 is 23823231.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=164.

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

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 322732 + ... + 322772.

It is an arithmetic number, because the mean of its divisors is an integer number (640842).

Almost surely, 213232832 is an apocalyptic number.

13232832 is a gapful number since it is divisible by the number (12) 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 13232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943576).

13232832 is an abundant number, since it is smaller than the sum of its proper divisors (22654320).

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

13232832 is an frugal number, since it uses more digits than its factorization.

13232832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 46 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 13232832 is about 3637.6959741023. The cubic root of 13232832 is about 236.5289295304.

13232832 divided by its sum of digits (24) gives a cube (551368 = 823).

The spelling of 13232832 in words is "thirteen million, two hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1681 1968 2624 3362 3936 5043 6724 7872 10086 13448 20172 26896 40344 53792 68921 80688 107584 137842 161376 206763 275684 322752 413526 551368 827052 1102736 1654104 2205472 3308208 4410944 6616416 13232832