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132063968 = 2531671987
BaseRepresentation
bin1111101111100…
…10001011100000
3100012111112201002
413313302023200
5232302021333
621034331132
73162345101
oct767621340
9305445632
10132063968
1168601683
1238289aa8
132148c07a
141377a3a8
15b8da0e8
hex7df22e0

132063968 has 48 divisors (see below), whose sum is σ = 272530944. Its totient is φ = 62916480.

The previous prime is 132063959. The next prime is 132063979. The reversal of 132063968 is 869360231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65471 + ... + 67457.

It is an arithmetic number, because the mean of its divisors is an integer number (5677728).

Almost surely, 2132063968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132063968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136265472).

132063968 is an abundant number, since it is smaller than the sum of its proper divisors (140466976).

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

132063968 is a wasteful number, since it uses less digits than its factorization.

132063968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 132063968 is about 11491.9088057642. The cubic root of 132063968 is about 509.2465717247.

The spelling of 132063968 in words is "one hundred thirty-two million, sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 67 124 134 248 268 496 536 992 1072 1987 2077 2144 3974 4154 7948 8308 15896 16616 31792 33232 61597 63584 66464 123194 133129 246388 266258 492776 532516 985552 1065032 1971104 2130064 4126999 4260128 8253998 16507996 33015992 66031984 132063968