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132538077 = 32712311709
BaseRepresentation
bin1111110011001…
…01111011011101
3100020101122001200
413321211323131
5232412204302
621052430113
73166361250
oct771457335
9306348050
10132538077
11688a5901
1238478339
13215c6ac9
1413861097
15b98081c
hex7e65edd

132538077 has 24 divisors (see below), whose sum is σ = 219098880. Its totient is φ = 75630240.

The previous prime is 132538067. The next prime is 132538093. The reversal of 132538077 is 770835231.

It is not a de Polignac number, because 132538077 - 27 = 132537949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132538037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76699 + ... + 78407.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2132538077 is an apocalyptic number.

It is an amenable number.

132538077 is a deficient number, since it is larger than the sum of its proper divisors (86560803).

132538077 is a wasteful number, since it uses less digits than its factorization.

132538077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 132538077 is about 11512.5182736011. The cubic root of 132538077 is about 509.8552414992.

The spelling of 132538077 in words is "one hundred thirty-two million, five hundred thirty-eight thousand, seventy-seven".

Divisors: 1 3 7 9 21 63 1231 1709 3693 5127 8617 11079 11963 15381 25851 35889 77553 107667 2103779 6311337 14726453 18934011 44179359 132538077