Base | Representation |
---|---|
bin | 1111100000110… |
… | …10100110100000 |
3 | 100001212102001221 |
4 | 13300122212200 |
5 | 231303214014 |
6 | 20525104424 |
7 | 3140051464 |
oct | 760324640 |
9 | 301772057 |
10 | 130132384 |
11 | 67502428 |
12 | 376b8114 |
13 | 20c63b15 |
14 | 133d64a4 |
15 | b657b24 |
hex | 7c1a9a0 |
130132384 has 36 divisors (see below), whose sum is σ = 261977814. Its totient is φ = 63608064.
The previous prime is 130132381. The next prime is 130132417. The reversal of 130132384 is 483231031.
It can be written as a sum of positive squares in 3 ways, for example, as 84272400 + 45859984 = 9180^2 + 6772^2 .
It is not an unprimeable number, because it can be changed into a prime (130132381) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 469654 + ... + 469930.
Almost surely, 2130132384 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130132384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130988907).
130132384 is an abundant number, since it is smaller than the sum of its proper divisors (131845430).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130132384 is an frugal number, since it uses more digits than its factorization.
130132384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 617 (or 332 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
The square root of 130132384 is about 11407.5581962136. The cubic root of 130132384 is about 506.7516001045.
The spelling of 130132384 in words is "one hundred thirty million, one hundred thirty-two thousand, three hundred eighty-four".
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