Base | Representation |
---|---|
bin | 1111100010110… |
… | …10011101010000 |
3 | 100002100200212001 |
4 | 13301122131100 |
5 | 231340101221 |
6 | 20534443344 |
7 | 3142221151 |
oct | 761323520 |
9 | 302320761 |
10 | 130393936 |
11 | 67670992 |
12 | 37803554 |
13 | 21025b9a |
14 | 13463928 |
15 | b6aa391 |
hex | 7c5a750 |
130393936 has 40 divisors (see below), whose sum is σ = 262665728. Its totient is φ = 62640000.
The previous prime is 130393909. The next prime is 130393937. The reversal of 130393936 is 639393031.
It is a junction number, because it is equal to n+sod(n) for n = 130393895 and 130393904.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130393937) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74026 + ... + 75766.
Almost surely, 2130393936 is an apocalyptic number.
130393936 is a gapful number since it is divisible by the number (16) 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 130393936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131332864).
130393936 is an abundant number, since it is smaller than the sum of its proper divisors (132271792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130393936 is a wasteful number, since it uses less digits than its factorization.
130393936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).
The product of its (nonzero) digits is 39366, while the sum is 37.
The square root of 130393936 is about 11419.0164199899. The cubic root of 130393936 is about 507.0908781822.
The spelling of 130393936 in words is "one hundred thirty million, three hundred ninety-three thousand, nine hundred thirty-six".
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