Base | Representation |
---|---|
bin | 1111110001100… |
… | …00110001000000 |
3 | 100012222120100121 |
4 | 13320300301000 |
5 | 232333222240 |
6 | 21044030024 |
7 | 3164463346 |
oct | 770606100 |
9 | 305876317 |
10 | 132320320 |
11 | 68767240 |
12 | 38392314 |
13 | 2154b962 |
14 | 13805996 |
15 | b93b04a |
hex | 7e30c40 |
132320320 has 56 divisors (see below), whose sum is σ = 343741248. Its totient is φ = 48115200.
The previous prime is 132320317. The next prime is 132320323. The reversal of 132320320 is 23023231.
132320320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (132320317) and next prime (132320323).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 132320294 and 132320303.
It is not an unprimeable number, because it can be changed into a prime (132320323) by changing a digit.
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, 15276 + ... + 22315.
Almost surely, 2132320320 is an apocalyptic number.
132320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
132320320 is an abundant number, since it is smaller than the sum of its proper divisors (211420928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132320320 is a wasteful number, since it uses less digits than its factorization.
132320320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37619 (or 37609 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 132320320 is about 11503.0569849932. The cubic root of 132320320 is about 509.5758616423.
Adding to 132320320 its reverse (23023231), we get a palindrome (155343551).
The spelling of 132320320 in words is "one hundred thirty-two million, three hundred twenty thousand, three hundred twenty".
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