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132104256 = 2634316001
BaseRepresentation
bin1111101111111…
…00000001000000
3100012120120222020
413313330001000
5232304314011
621035241440
73162603414
oct767740100
9305516866
10132104256
1168629979
12382a9280
13214a44cb
141378ad44
15b8e7006
hex7dfc040

132104256 has 56 divisors (see below), whose sum is σ = 357676704. Its totient is φ = 43008000.

The previous prime is 132104227. The next prime is 132104261. The reversal of 132104256 is 652401231.

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

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 7 ways as a sum of consecutive naturals, for example, 256 + ... + 16256.

It is an arithmetic number, because the mean of its divisors is an integer number (6387084).

Almost surely, 2132104256 is an apocalyptic number.

132104256 is a gapful number since it is divisible by the number (16) 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 132104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178838352).

132104256 is an abundant number, since it is smaller than the sum of its proper divisors (225572448).

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

132104256 is a wasteful number, since it uses less digits than its factorization.

132104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16059 (or 16049 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132104256 is about 11493.6615575716. The cubic root of 132104256 is about 509.2983507736.

Adding to 132104256 its reverse (652401231), we get a palindrome (784505487).

The spelling of 132104256 in words is "one hundred thirty-two million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 16001 32002 48003 64004 96006 128008 192012 256016 384024 512032 688043 768048 1024064 1376086 1536096 2064129 2752172 3072192 4128258 5504344 8256516 11008688 16513032 22017376 33026064 44034752 66052128 132104256