Base | Representation |
---|---|
bin | 1111011111111… |
… | …01101101001000 |
3 | 100001122101201020 |
4 | 13233331231020 |
5 | 231240422044 |
6 | 20522352440 |
7 | 3136046430 |
oct | 757755510 |
9 | 301571636 |
10 | 130014024 |
11 | 67431508 |
12 | 3765b720 |
13 | 20c21c9a |
14 | 133a52c0 |
15 | b632a19 |
hex | 7bfdb48 |
130014024 has 64 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 37038144.
The previous prime is 130014019. The next prime is 130014037. The reversal of 130014024 is 420410031.
It is a junction number, because it is equal to n+sod(n) for n = 130013994 and 130014012.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69469 + ... + 71315.
It is an arithmetic number, because the mean of its divisors is an integer number (5821200).
Almost surely, 2130014024 is an apocalyptic number.
130014024 is a gapful number since it is divisible by the number (14) 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 130014024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).
130014024 is an abundant number, since it is smaller than the sum of its proper divisors (242542776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130014024 is a wasteful number, since it uses less digits than its factorization.
130014024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2282 (or 2278 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 130014024 is about 11402.3692274895. The cubic root of 130014024 is about 506.5979173416.
Adding to 130014024 its reverse (420410031), we get a palindrome (550424055).
The spelling of 130014024 in words is "one hundred thirty million, fourteen thousand, twenty-four".
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