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132313032 = 23321837681
BaseRepresentation
bin1111110001011…
…10111111001000
3100012222012100200
413320232333020
5232333004112
621043532200
73164433165
oct770567710
9305865320
10132313032
1168761815
123838a060
1321548547
141380306c
15b938cdc
hex7e2efc8

132313032 has 24 divisors (see below), whose sum is σ = 358347990. Its totient is φ = 44104320.

The previous prime is 132313019. The next prime is 132313033. The reversal of 132313032 is 230313231.

It can be written as a sum of positive squares in only one way, i.e., 118069956 + 14243076 = 10866^2 + 3774^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132312996 and 132313014.

It is not an unprimeable number, because it can be changed into a prime (132313033) 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 5 ways as a sum of consecutive naturals, for example, 918769 + ... + 918912.

Almost surely, 2132313032 is an apocalyptic number.

132313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132313032 is an abundant number, since it is smaller than the sum of its proper divisors (226034958).

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

132313032 is a wasteful number, since it uses less digits than its factorization.

132313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837693 (or 1837686 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132313032 is about 11502.7401952752. The cubic root of 132313032 is about 509.5665059186.

Adding to 132313032 its reverse (230313231), we get a palindrome (362626263).

The spelling of 132313032 in words is "one hundred thirty-two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1837681 3675362 5513043 7350724 11026086 14701448 16539129 22052172 33078258 44104344 66156516 132313032