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132037956 = 22323667721
BaseRepresentation
bin1111101111010…
…11110101000100
3100012110020000200
413313223311010
5232300203311
621034010500
73162206211
oct767536504
9305406020
10132037956
1168594086
1238276a30
132148028b
1413770b08
15b8d2556
hex7debd44

132037956 has 18 divisors (see below), whose sum is σ = 333762702. Its totient is φ = 44012640.

The previous prime is 132037951. The next prime is 132037981. The reversal of 132037956 is 659730231.

It can be written as a sum of positive squares in only one way, i.e., 96825600 + 35212356 = 9840^2 + 5934^2 .

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

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: 3667721 = 132037956 / (1 + 3 + 2 + 0 + 3 + 7 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 132037956.

It is not an unprimeable number, because it can be changed into a prime (132037951) 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, 1833825 + ... + 1833896.

Almost surely, 2132037956 is an apocalyptic number.

It is an amenable number.

132037956 is an abundant number, since it is smaller than the sum of its proper divisors (201724746).

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

132037956 is a wasteful number, since it uses less digits than its factorization.

132037956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667731 (or 3667726 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 132037956 is about 11490.7769972269. The cubic root of 132037956 is about 509.2131349193.

The spelling of 132037956 in words is "one hundred thirty-two million, thirty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3667721 7335442 11003163 14670884 22006326 33009489 44012652 66018978 132037956