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132588896 = 25114283
BaseRepresentation
bin1111110011100…
…10010101100000
3100020111012202212
413321302111200
5232420321041
621053501252
73166662356
oct771622540
9306435685
10132588896
1168930000
12384a1828
1321613c8b
14138757d6
15b9908eb
hex7e72560

132588896 has 60 divisors (see below), whose sum is σ = 288150660. Its totient is φ = 60054720.

The previous prime is 132588857. The next prime is 132588917. The reversal of 132588896 is 698885231.

132588896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 468371 + ... + 468653.

It is an arithmetic number, because the mean of its divisors is an integer number (4802511).

Almost surely, 2132588896 is an apocalyptic number.

132588896 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 132588896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144075330).

132588896 is an abundant number, since it is smaller than the sum of its proper divisors (155561764).

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

132588896 is an frugal number, since it uses more digits than its factorization.

132588896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 296 counting only the distinct ones).

The product of its digits is 829440, while the sum is 50.

The square root of 132588896 is about 11514.7251812625. The cubic root of 132588896 is about 509.9203976748.

The spelling of 132588896 in words is "one hundred thirty-two million, five hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 283 352 484 566 968 1132 1331 1936 2264 2662 3113 3872 4528 5324 6226 9056 10648 12452 14641 21296 24904 29282 34243 42592 49808 58564 68486 99616 117128 136972 234256 273944 376673 468512 547888 753346 1095776 1506692 3013384 4143403 6026768 8286806 12053536 16573612 33147224 66294448 132588896