Base | Representation |
---|---|
bin | 1111100000111… |
… | …00110101111100 |
3 | 100001212212122221 |
4 | 13300130311330 |
5 | 231304012224 |
6 | 20525215124 |
7 | 3140120320 |
oct | 760346574 |
9 | 301785587 |
10 | 130141564 |
11 | 67509313 |
12 | 377014a4 |
13 | 20c68057 |
14 | 133d9980 |
15 | b65a6e4 |
hex | 7c1cd7c |
130141564 has 48 divisors (see below), whose sum is σ = 280403200. Its totient is φ = 51601536.
The previous prime is 130141547. The next prime is 130141577. The reversal of 130141564 is 465141031.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20032 + ... + 25720.
Almost surely, 2130141564 is an apocalyptic number.
130141564 is a gapful number since it is divisible by the number (14) 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 130141564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140201600).
130141564 is an abundant number, since it is smaller than the sum of its proper divisors (150261636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130141564 is a wasteful number, since it uses less digits than its factorization.
130141564 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5762 (or 5760 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 25.
The square root of 130141564 is about 11407.9605539290. The cubic root of 130141564 is about 506.7635158429.
Adding to 130141564 its reverse (465141031), we get a palindrome (595282595).
The spelling of 130141564 in words is "one hundred thirty million, one hundred forty-one thousand, five hundred sixty-four".
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