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132239688 = 23373112531
BaseRepresentation
bin1111110000111…
…01000101001000
3100012211110202020
413320131011020
5232323132223
621042204440
73164006310
oct770350510
9305743666
10132239688
11687116a9
1238353720
1321521049
14137c4440
15b9221e3
hex7e1d148

132239688 has 64 divisors (see below), whose sum is σ = 379192320. Its totient is φ = 37646400.

The previous prime is 132239633. The next prime is 132239689. The reversal of 132239688 is 886932231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (132239689) 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, 50983 + ... + 53513.

It is an arithmetic number, because the mean of its divisors is an integer number (5924880).

Almost surely, 2132239688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132239688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189596160).

132239688 is an abundant number, since it is smaller than the sum of its proper divisors (246952632).

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

132239688 is a wasteful number, since it uses less digits than its factorization.

132239688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2854 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 132239688 is about 11499.5516434338. The cubic root of 132239688 is about 509.4723339058.

The spelling of 132239688 in words is "one hundred thirty-two million, two hundred thirty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 622 933 1244 1866 2177 2488 2531 3732 4354 5062 6531 7464 7593 8708 10124 13062 15186 17416 17717 20248 26124 30372 35434 52248 53151 60744 70868 106302 141736 212604 425208 787141 1574282 2361423 3148564 4722846 5509987 6297128 9445692 11019974 16529961 18891384 22039948 33059922 44079896 66119844 132239688