Base | Representation |
---|---|
bin | 1111100100101… |
… | …10000001100000 |
3 | 100002211002112111 |
4 | 13302112001200 |
5 | 231420403140 |
6 | 20544005104 |
7 | 3144255400 |
oct | 762260140 |
9 | 302732474 |
10 | 130637920 |
11 | 67818226 |
12 | 37900794 |
13 | 210acc5a |
14 | 134c8800 |
15 | b7077ea |
hex | 7c96060 |
130637920 has 144 divisors (see below), whose sum is σ = 378347760. Its totient is φ = 42384384.
The previous prime is 130637891. The next prime is 130637929. The reversal of 130637920 is 29736031.
It is a super-2 number, since 2×1306379202 = 34132532283852800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130637929) 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 23 ways as a sum of consecutive naturals, for example, 148522 + ... + 149398.
It is an arithmetic number, because the mean of its divisors is an integer number (2627415).
Almost surely, 2130637920 is an apocalyptic number.
130637920 is a gapful number since it is divisible by the number (10) 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 130637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189173880).
130637920 is an abundant number, since it is smaller than the sum of its proper divisors (247709840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130637920 is a wasteful number, since it uses less digits than its factorization.
130637920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 925 (or 910 counting only the distinct ones).
The product of its (nonzero) digits is 6804, while the sum is 31.
The square root of 130637920 is about 11429.6946590887. The cubic root of 130637920 is about 507.4069587660.
The spelling of 130637920 in words is "one hundred thirty million, six hundred thirty-seven thousand, nine hundred twenty".
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