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132077988 = 22327524119
BaseRepresentation
bin1111101111101…
…01100110100100
3100012112020221100
413313311212210
5232302443423
621034520100
73162434010
oct767654644
9305466840
10132077988
1168611169
1238296030
1321495573
1413781540
15b8de343
hex7df59a4

132077988 has 36 divisors (see below), whose sum is σ = 381559360. Its totient is φ = 37736496.

The previous prime is 132077969. The next prime is 132077989. The reversal of 132077988 is 889770231.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (132077989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261808 + ... + 262311.

Almost surely, 2132077988 is an apocalyptic number.

132077988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132077988 is an abundant number, since it is smaller than the sum of its proper divisors (249481372).

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

132077988 is a wasteful number, since it uses less digits than its factorization.

132077988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524136 (or 524131 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 132077988 is about 11492.5187839742. The cubic root of 132077988 is about 509.2645917404.

The spelling of 132077988 in words is "one hundred thirty-two million, seventy-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 524119 1048238 1572357 2096476 3144714 3668833 4717071 6289428 7337666 9434142 11006499 14675332 18868284 22012998 33019497 44025996 66038994 132077988