Base | Representation |
---|---|
bin | 1111100011100… |
… | …10000000000000 |
3 | 100002112121010121 |
4 | 13301302000000 |
5 | 231401142433 |
6 | 20540510024 |
7 | 3143102251 |
oct | 761620000 |
9 | 302477117 |
10 | 130490368 |
11 | 67727388 |
12 | 3784b314 |
13 | 2105aa48 |
14 | 1348ab28 |
15 | b6c8c2d |
hex | 7c72000 |
130490368 has 56 divisors (see below), whose sum is σ = 276610572. Its totient is φ = 61341696.
The previous prime is 130490357. The next prime is 130490369. The reversal of 130490368 is 863094031.
It can be written as a sum of positive squares in 2 ways, for example, as 128323584 + 2166784 = 11328^2 + 1472^2 .
It is a super-2 number, since 2×1304903682 = 34055472281550848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (34).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130490369) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138796 + ... + 139732.
Almost surely, 2130490368 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 130490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138305286).
130490368 is an abundant number, since it is smaller than the sum of its proper divisors (146120204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130490368 is an frugal number, since it uses more digits than its factorization.
130490368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 980 (or 956 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 34.
The square root of 130490368 is about 11423.2380698294. The cubic root of 130490368 is about 507.2158526493.
The spelling of 130490368 in words is "one hundred thirty million, four hundred ninety thousand, three hundred sixty-eight".
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