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132013539 = 32719293803
BaseRepresentation
bin1111101111001…
…01110111100011
3100012101222112100
413313211313203
5232243413124
621033301443
73162045060
oct767456743
9305358470
10132013539
11685777a9
1238264883
1321472128
1413765c67
15b8ca1c9
hex7de5de3

132013539 has 48 divisors (see below), whose sum is σ = 237369600. Its totient is φ = 68983488.

The previous prime is 132013529. The next prime is 132013549. The reversal of 132013539 is 935310231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132013529) and next prime (132013549).

It is not a de Polignac number, because 132013539 - 24 = 132013523 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132013529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32812 + ... + 36614.

It is an arithmetic number, because the mean of its divisors is an integer number (4945200).

Almost surely, 2132013539 is an apocalyptic number.

132013539 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

132013539 is a deficient number, since it is larger than the sum of its proper divisors (105356061).

132013539 is a wasteful number, since it uses less digits than its factorization.

132013539 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 132013539 is about 11489.7144873143. The cubic root of 132013539 is about 509.1817443909.

The spelling of 132013539 in words is "one hundred thirty-two million, thirteen thousand, five hundred thirty-nine".

Divisors: 1 3 7 9 19 21 29 57 63 87 133 171 203 261 399 551 609 1197 1653 1827 3803 3857 4959 11409 11571 26621 34227 34713 72257 79863 110287 216771 239589 330861 505799 650313 772009 992583 1517397 2095453 2316027 4552191 6286359 6948081 14668171 18859077 44004513 132013539