Base | Representation |
---|---|
bin | 1111100100111… |
… | …00010100000000 |
3 | 100002212101212120 |
4 | 13302130110000 |
5 | 231422214210 |
6 | 20544324240 |
7 | 3144423450 |
oct | 762342400 |
9 | 302771776 |
10 | 130663680 |
11 | 67835614 |
12 | 37913680 |
13 | 210bb8b4 |
14 | 134d3d60 |
15 | b710270 |
hex | 7c9c500 |
130663680 has 144 divisors (see below), whose sum is σ = 477020544. Its totient is φ = 29859840.
The previous prime is 130663669. The next prime is 130663699. The reversal of 130663680 is 86366031.
130663680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1306636802 = 34145994542284800, which contains 22 as substring.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 24450 + ... + 29310.
Almost surely, 2130663680 is an apocalyptic number.
130663680 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 130663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238510272).
130663680 is an abundant number, since it is smaller than the sum of its proper divisors (346356864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130663680 is an equidigital number, since it uses as much as digits as its factorization.
130663680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4892 (or 4878 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 33.
The square root of 130663680 is about 11430.8214927887. The cubic root of 130663680 is about 507.4403077972.
The spelling of 130663680 in words is "one hundred thirty million, six hundred sixty-three thousand, six hundred eighty".
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