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132320032 = 2513318077
BaseRepresentation
bin1111110001100…
…00101100100000
3100012222112221221
413320300230200
5232333220112
621044024424
73164462455
oct770605440
9305875857
10132320032
1168766aa9
1238392114
132154b7a0
141380582c
15b93ae07
hex7e30b20

132320032 has 24 divisors (see below), whose sum is σ = 280544796. Its totient is φ = 61070592.

The previous prime is 132320021. The next prime is 132320053. The reversal of 132320032 is 230023231.

It can be written as a sum of positive squares in 2 ways, for example, as 130965136 + 1354896 = 11444^2 + 1164^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132319988 and 132320015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158623 + ... + 159454.

Almost surely, 2132320032 is an apocalyptic number.

It is an amenable number.

132320032 is an abundant number, since it is smaller than the sum of its proper divisors (148224764).

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

132320032 is a wasteful number, since it uses less digits than its factorization.

132320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318100 (or 318092 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 132320032 is about 11503.0444665749. The cubic root of 132320032 is about 509.5754919385.

Adding to 132320032 its reverse (230023231), we get a palindrome (362343263).

It can be divided in two parts, 132 and 320032, that multiplied together give a palindrome (42244224).

The spelling of 132320032 in words is "one hundred thirty-two million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 318077 636154 1272308 2544616 4135001 5089232 8270002 10178464 16540004 33080008 66160016 132320032