Base | Representation |
---|---|
bin | 1111100000111… |
… | …00011110000000 |
3 | 100001212210120012 |
4 | 13300130132000 |
5 | 231303440112 |
6 | 20525204052 |
7 | 3140113001 |
oct | 760343600 |
9 | 301783505 |
10 | 130140032 |
11 | 67508150 |
12 | 37700628 |
13 | 20c67449 |
14 | 133d91a8 |
15 | b65a022 |
hex | 7c1c780 |
130140032 has 64 divisors (see below), whose sum is σ = 299525040. Its totient is φ = 55664640.
The previous prime is 130140011. The next prime is 130140047. The reversal of 130140032 is 230041031.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1301400322 = 33872855857922048, which contains 22 as substring.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 130139989 and 130140016.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21218 + ... + 26654.
Almost surely, 2130140032 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 130140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149762520).
130140032 is an abundant number, since it is smaller than the sum of its proper divisors (169385008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130140032 is a wasteful number, since it uses less digits than its factorization.
130140032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5479 (or 5467 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 130140032 is about 11407.8934076367. The cubic root of 130140032 is about 506.7615273294.
Adding to 130140032 its reverse (230041031), we get a palindrome (360181063).
Subtracting 130140032 from its reverse (230041031), we obtain a palindrome (99900999).
The spelling of 130140032 in words is "one hundred thirty million, one hundred forty thousand, thirty-two".
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