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132327856 = 24194353191
BaseRepresentation
bin1111110001100…
…10100110110000
3100012222221200201
413320302212300
5232333442411
621044124544
73164524333
oct770624660
9305887621
10132327856
1168771971
1238396754
132155220b
141380861a
15b93d3c1
hex7e329b0

132327856 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 59754240.

The previous prime is 132327851. The next prime is 132327857. The reversal of 132327856 is 658723231.

It is a super-2 number, since 2×1323278562 = 35021322947113472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132327851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692721 + ... + 692911.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2132327856 is an apocalyptic number.

132327856 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 132327856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

132327856 is an abundant number, since it is smaller than the sum of its proper divisors (150511184).

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

132327856 is a wasteful number, since it uses less digits than its factorization.

132327856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 132327856 is about 11503.3845454284. The cubic root of 132327856 is about 509.5855353664.

The spelling of 132327856 in words is "one hundred thirty-two million, three hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 43 53 76 86 106 152 172 191 212 304 344 382 424 688 764 817 848 1007 1528 1634 2014 2279 3056 3268 3629 4028 4558 6536 7258 8056 8213 9116 10123 13072 14516 16112 16426 18232 20246 29032 32852 36464 40492 43301 58064 65704 80984 86602 131408 156047 161968 173204 192337 312094 346408 384674 435289 624188 692816 769348 870578 1248376 1538696 1741156 2496752 3077392 3482312 6964624 8270491 16540982 33081964 66163928 132327856