Base | Representation |
---|---|
bin | 1111110100011… |
… | …00101000000000 |
3 | 100020200200111000 |
4 | 13322030220000 |
5 | 232432242301 |
6 | 21100052000 |
7 | 3200621325 |
oct | 772145000 |
9 | 306620430 |
10 | 132696576 |
11 | 689a39a1 |
12 | 38534000 |
13 | 21650cac |
14 | 138a2b4c |
15 | b9b2786 |
hex | 7e8ca00 |
132696576 has 160 divisors (see below), whose sum is σ = 407563200. Its totient is φ = 42577920.
The previous prime is 132696563. The next prime is 132696587. The reversal of 132696576 is 675696231.
132696576 is a `hidden beast` number, since 13 + 2 + 69 + 6 + 576 = 666.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
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 15 ways as a sum of consecutive naturals, for example, 400731 + ... + 401061.
It is an arithmetic number, because the mean of its divisors is an integer number (2547270).
Almost surely, 2132696576 is an apocalyptic number.
132696576 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 132696576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203781600).
132696576 is an abundant number, since it is smaller than the sum of its proper divisors (274866624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132696576 is an equidigital number, since it uses as much as digits as its factorization.
132696576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 387 (or 365 counting only the distinct ones).
The product of its digits is 408240, while the sum is 45.
The square root of 132696576 is about 11519.3999843742. The cubic root of 132696576 is about 510.0584016165.
The spelling of 132696576 in words is "one hundred thirty-two million, six hundred ninety-six thousand, five hundred seventy-six".
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