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132617129 = 7317310501
BaseRepresentation
bin1111110011110…
…01001110101001
3100020112122111112
413321321032221
5232422222004
621054240105
73200140601
oct771711651
9306478445
10132617129
116894a237
12384b6035
1321623a98
1413881c01
15b998e6e
hex7e793a9

132617129 has 8 divisors (see below), whose sum is σ = 135223752. Its totient is φ = 130032000.

The previous prime is 132617123. The next prime is 132617179. The reversal of 132617129 is 921716231.

It can be written as a sum of positive squares in 4 ways, for example, as 37515625 + 95101504 = 6125^2 + 9752^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132617129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132617095 and 132617104.

It is not an unprimeable number, because it can be changed into a prime (132617123) 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 7 ways as a sum of consecutive naturals, for example, 7379 + ... + 17879.

It is an arithmetic number, because the mean of its divisors is an integer number (16902969).

Almost surely, 2132617129 is an apocalyptic number.

It is an amenable number.

132617129 is a deficient number, since it is larger than the sum of its proper divisors (2606623).

132617129 is a wasteful number, since it uses less digits than its factorization.

132617129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10747.

The product of its digits is 4536, while the sum is 32.

The square root of 132617129 is about 11515.9510679752. The cubic root of 132617129 is about 509.9565886412.

The spelling of 132617129 in words is "one hundred thirty-two million, six hundred seventeen thousand, one hundred twenty-nine".

Divisors: 1 73 173 10501 12629 766573 1816673 132617129