Base | Representation |
---|---|
bin | 1111100100101… |
… | …11001000000000 |
3 | 100002211022201121 |
4 | 13302113020000 |
5 | 231421024212 |
6 | 20544042024 |
7 | 3144304504 |
oct | 762271000 |
9 | 302738647 |
10 | 130642432 |
11 | 67820658 |
12 | 37903314 |
13 | 210b201b |
14 | 134ca304 |
15 | b708d07 |
hex | 7c97200 |
130642432 has 40 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 63206400.
The previous prime is 130642427. The next prime is 130642451. The reversal of 130642432 is 234246031.
130642432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 130642397 and 130642406.
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 3 ways as a sum of consecutive naturals, for example, 11757 + ... + 19987.
Almost surely, 2130642432 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 130642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).
130642432 is an abundant number, since it is smaller than the sum of its proper divisors (138840320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130642432 is an frugal number, since it uses more digits than its factorization.
130642432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8280 (or 8264 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 25.
The square root of 130642432 is about 11429.8920379853. The cubic root of 130642432 is about 507.4128003416.
Adding to 130642432 its reverse (234246031), we get a palindrome (364888463).
The spelling of 130642432 in words is "one hundred thirty million, six hundred forty-two thousand, four hundred thirty-two".
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