Base | Representation |
---|---|
bin | 1111100001100… |
… | …10111010100000 |
3 | 100002001110200020 |
4 | 13300302322200 |
5 | 231314410333 |
6 | 20531153440 |
7 | 3140645016 |
oct | 760627240 |
9 | 302043606 |
10 | 130231968 |
11 | 67570229 |
12 | 37745880 |
13 | 20c9a249 |
14 | 134208b6 |
15 | b6773b3 |
hex | 7c32ea0 |
130231968 has 96 divisors (see below), whose sum is σ = 364694400. Its totient is φ = 40550400.
The previous prime is 130231921. The next prime is 130232017. The reversal of 130231968 is 869132031.
It is a tau number, because it is divible by the number of its divisors (96).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324568 + ... + 324968.
It is an arithmetic number, because the mean of its divisors is an integer number (3798900).
Almost surely, 2130231968 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 130231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182347200).
130231968 is an abundant number, since it is smaller than the sum of its proper divisors (234462432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130231968 is a wasteful number, since it uses less digits than its factorization.
130231968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 630 (or 622 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 33.
The square root of 130231968 is about 11411.9221869061. The cubic root of 130231968 is about 506.8808312834.
Adding to 130231968 its reverse (869132031), we get a palindrome (999363999).
The spelling of 130231968 in words is "one hundred thirty million, two hundred thirty-one thousand, nine hundred sixty-eight".
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