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132406761 = 31743173349
BaseRepresentation
bin1111110010001…
…01110111101001
3100020010221221010
413321011313221
5232344004021
621045534133
73165303354
oct771056751
9306127833
10132406761
1168816183
1238414349
132157c0c6
141382929b
15b956976
hex7e45de9

132406761 has 32 divisors (see below), whose sum is σ = 192931200. Its totient is φ = 80446464.

The previous prime is 132406759. The next prime is 132406793. The reversal of 132406761 is 167604231.

It is not a de Polignac number, because 132406761 - 21 = 132406759 is a prime.

It is a super-2 number, since 2×1324067612 = 35063100717022242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132406711) 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 31 ways as a sum of consecutive naturals, for example, 379215 + ... + 379563.

It is an arithmetic number, because the mean of its divisors is an integer number (6029100).

Almost surely, 2132406761 is an apocalyptic number.

It is an amenable number.

132406761 is a deficient number, since it is larger than the sum of its proper divisors (60524439).

132406761 is a wasteful number, since it uses less digits than its factorization.

132406761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 132406761 is about 11506.8136771219. The cubic root of 132406761 is about 509.6868011632.

The spelling of 132406761 in words is "one hundred thirty-two million, four hundred six thousand, seven hundred sixty-one".

Divisors: 1 3 17 43 51 129 173 349 519 731 1047 2193 2941 5933 7439 8823 15007 17799 22317 45021 60377 126463 181131 255119 379389 765357 1026409 2596211 3079227 7788633 44135587 132406761