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132538536 = 233213141601
BaseRepresentation
bin1111110011001…
…10000010101000
3100020101122200200
413321212002220
5232412213121
621052432200
73166362504
oct771460250
9306348620
10132538536
11688a6189
1238478660
13215c7090
1413861304
15b980a26
hex7e660a8

132538536 has 48 divisors (see below), whose sum is σ = 386573460. Its totient is φ = 40780800.

The previous prime is 132538519. The next prime is 132538541. The reversal of 132538536 is 635835231.

It can be written as a sum of positive squares in 2 ways, for example, as 129276900 + 3261636 = 11370^2 + 1806^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132538536.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 69865 + ... + 71736.

Almost surely, 2132538536 is an apocalyptic number.

It is an amenable number.

132538536 is an abundant number, since it is smaller than the sum of its proper divisors (254034924).

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

132538536 is a wasteful number, since it uses less digits than its factorization.

132538536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141626 (or 141619 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 132538536 is about 11512.5382084057. The cubic root of 132538536 is about 509.8558300679.

The spelling of 132538536 in words is "one hundred thirty-two million, five hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 141601 283202 424803 566404 849606 1132808 1274409 1699212 1840813 2548818 3398424 3681626 5097636 5522439 7363252 10195272 11044878 14726504 16567317 22089756 33134634 44179512 66269268 132538536