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132312996 = 22323675361
BaseRepresentation
bin1111110001011…
…10111110100100
3100012222012022100
413320232332210
5232333003441
621043532100
73164433114
oct770567644
9305865270
10132312996
1168761792
123838a030
132154851a
1413803044
15b938cb6
hex7e2efa4

132312996 has 18 divisors (see below), whose sum is σ = 334457942. Its totient is φ = 44104320.

The previous prime is 132312967. The next prime is 132313019. The reversal of 132312996 is 699213231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 125216100 + 7096896 = 11190^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3675361 = 132312996 / (1 + 3 + 2 + 3 + 1 + 2 + 9 + 9 + 6).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132312996.

It is an unprimeable number.

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, 1837645 + ... + 1837716.

Almost surely, 2132312996 is an apocalyptic number.

It is an amenable number.

132312996 is an abundant number, since it is smaller than the sum of its proper divisors (202144946).

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

132312996 is a wasteful number, since it uses less digits than its factorization.

132312996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675371 (or 3675366 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 132312996 is about 11502.7386304306. The cubic root of 132312996 is about 509.5664597039.

The spelling of 132312996 in words is "one hundred thirty-two million, three hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3675361 7350722 11026083 14701444 22052166 33078249 44104332 66156498 132312996