Base | Representation |
---|---|
bin | 1111110011100… |
… | …10010101100000 |
3 | 100020111012202212 |
4 | 13321302111200 |
5 | 232420321041 |
6 | 21053501252 |
7 | 3166662356 |
oct | 771622540 |
9 | 306435685 |
10 | 132588896 |
11 | 68930000 |
12 | 384a1828 |
13 | 21613c8b |
14 | 138757d6 |
15 | b9908eb |
hex | 7e72560 |
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".
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