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132239616 = 283233739
BaseRepresentation
bin1111110000111…
…01000100000000
3100012211110122120
413320131010000
5232323131431
621042204240
73164006145
oct770350400
9305743576
10132239616
1168711643
1238353680
1321520cc2
14137c43cc
15b922196
hex7e1d100

132239616 has 72 divisors (see below), whose sum is σ = 353939040. Its totient is φ = 43831296.

The previous prime is 132239567. The next prime is 132239621. The reversal of 132239616 is 616932231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178575 + ... + 179313.

It is an arithmetic number, because the mean of its divisors is an integer number (4915820).

Almost surely, 2132239616 is an apocalyptic number.

132239616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132239616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176969520).

132239616 is an abundant number, since it is smaller than the sum of its proper divisors (221699424).

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

132239616 is an equidigital number, since it uses as much as digits as its factorization.

132239616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 977 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 132239616 is about 11499.5485128765. The cubic root of 132239616 is about 509.4722414424.

The spelling of 132239616 in words is "one hundred thirty-two million, two hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 384 466 699 739 768 932 1398 1478 1864 2217 2796 2956 3728 4434 5592 5912 7456 8868 11184 11824 14912 17736 22368 23648 29824 35472 44736 47296 59648 70944 89472 94592 141888 172187 178944 189184 283776 344374 516561 567552 688748 1033122 1377496 2066244 2754992 4132488 5509984 8264976 11019968 16529952 22039936 33059904 44079872 66119808 132239616