Base | Representation |
---|---|
bin | 1111100011100… |
… | …10010011010000 |
3 | 100002112122211020 |
4 | 13301302103100 |
5 | 231401212400 |
6 | 20540515440 |
7 | 3143105661 |
oct | 761622320 |
9 | 302478736 |
10 | 130491600 |
11 | 677282a8 |
12 | 3784bb80 |
13 | 2105b485 |
14 | 1348b368 |
15 | b6c92a0 |
hex | 7c724d0 |
130491600 has 120 divisors (see below), whose sum is σ = 429451680. Its totient is φ = 33845760.
The previous prime is 130491593. The next prime is 130491607. The reversal of 130491600 is 6194031.
130491600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (130491593) and next prime (130491607).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130491607) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42931 + ... + 45869.
It is an arithmetic number, because the mean of its divisors is an integer number (3578764).
Almost surely, 2130491600 is an apocalyptic number.
130491600 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 130491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214725840).
130491600 is an abundant number, since it is smaller than the sum of its proper divisors (298960080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130491600 is a wasteful number, since it uses less digits than its factorization.
130491600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2997 (or 2986 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 24.
The square root of 130491600 is about 11423.2919948673. The cubic root of 130491600 is about 507.2174489050.
The spelling of 130491600 in words is "one hundred thirty million, four hundred ninety-one thousand, six hundred".
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