Base | Representation |
---|---|
bin | 1111100011011… |
… | …00010011100000 |
3 | 100002111102010121 |
4 | 13301230103200 |
5 | 231344421130 |
6 | 20540210024 |
7 | 3142644244 |
oct | 761542340 |
9 | 302442117 |
10 | 130467040 |
11 | 67710900 |
12 | 37839914 |
13 | 21050242 |
14 | 13482424 |
15 | b6c1d7a |
hex | 7c6c4e0 |
130467040 has 144 divisors (see below), whose sum is σ = 354733344. Its totient is φ = 45224960.
The previous prime is 130467013. The next prime is 130467041. The reversal of 130467040 is 40764031.
It is a junction number, because it is equal to n+sod(n) for n = 130466996 and 130467014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130467041) 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, 445134 + ... + 445426.
It is an arithmetic number, because the mean of its divisors is an integer number (2463426).
Almost surely, 2130467040 is an apocalyptic number.
130467040 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 130467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177366672).
130467040 is an abundant number, since it is smaller than the sum of its proper divisors (224266304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130467040 is a wasteful number, since it uses less digits than its factorization.
130467040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 353 (or 334 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 25.
The square root of 130467040 is about 11422.2169476858. The cubic root of 130467040 is about 507.1856255484.
The spelling of 130467040 in words is "one hundred thirty million, four hundred sixty-seven thousand, forty".
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