Base | Representation |
---|---|
bin | 1111011111110… |
… | …11001001101000 |
3 | 100001121212100200 |
4 | 13233323021220 |
5 | 231240103220 |
6 | 20522232200 |
7 | 3136004061 |
oct | 757731150 |
9 | 301555320 |
10 | 130003560 |
11 | 67424665 |
12 | 37655660 |
13 | 20c1a2ab |
14 | 133a1568 |
15 | b62e890 |
hex | 7bfb268 |
130003560 has 96 divisors (see below), whose sum is σ = 424176480. Its totient is φ = 34531200.
The previous prime is 130003519. The next prime is 130003561. The reversal of 130003560 is 65300031.
It is a super-2 number, since 2×1300035602 = 33801851225347200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (130003561) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118615 + ... + 119705.
It is an arithmetic number, because the mean of its divisors is an integer number (4418505).
Almost surely, 2130003560 is an apocalyptic number.
130003560 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 130003560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212088240).
130003560 is an abundant number, since it is smaller than the sum of its proper divisors (294172920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130003560 is a wasteful number, since it uses less digits than its factorization.
130003560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1439 (or 1432 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 18.
The square root of 130003560 is about 11401.9103662500. The cubic root of 130003560 is about 506.5843260313.
Adding to 130003560 its reverse (65300031), we get a palindrome (195303591).
The spelling of 130003560 in words is "one hundred thirty million, three thousand, five hundred sixty".
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