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132712081 = 17371012089
BaseRepresentation
bin1111110100100…
…00011010010001
3100020201110202021
413322100122101
5232433241311
621100251441
73201014455
oct772203221
9306643667
10132712081
1168a04607
1238540b81
1321658078
14138a8665
15b9b7171
hex7e90691

132712081 has 16 divisors (see below), whose sum is σ = 145815120. Its totient is φ = 120268800.

The previous prime is 132712051. The next prime is 132712087. The reversal of 132712081 is 180217231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79495056 + 53217025 = 8916^2 + 7295^2 .

It is a cyclic number.

It is not a de Polignac number, because 132712081 - 221 = 130614929 is a prime.

It is a super-2 number, since 2×1327120812 = 35224992886701122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132712087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62485 + ... + 64573.

It is an arithmetic number, because the mean of its divisors is an integer number (9113445).

Almost surely, 2132712081 is an apocalyptic number.

It is an amenable number.

132712081 is a deficient number, since it is larger than the sum of its proper divisors (13103039).

132712081 is a wasteful number, since it uses less digits than its factorization.

132712081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 132712081 is about 11520.0729598384. The cubic root of 132712081 is about 510.0782668553.

The spelling of 132712081 in words is "one hundred thirty-two million, seven hundred twelve thousand, eighty-one".

Divisors: 1 17 37 101 629 1717 2089 3737 35513 63529 77293 210989 1313981 3586813 7806593 132712081