Base | Representation |
---|---|
bin | 1111100000011… |
… | …10011011000100 |
3 | 100001202212122101 |
4 | 13300032123010 |
5 | 231300120000 |
6 | 20524041444 |
7 | 3136453162 |
oct | 760163304 |
9 | 301685571 |
10 | 130082500 |
11 | 674789a9 |
12 | 37693284 |
13 | 20c471c2 |
14 | 133c2232 |
15 | b647e6a |
hex | 7c0e6c4 |
130082500 has 60 divisors (see below), whose sum is σ = 289466716. Its totient is φ = 51120000.
The previous prime is 130082473. The next prime is 130082501. The reversal of 130082500 is 5280031.
It is a happy number.
130082500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 10 ways, for example, as 129413376 + 669124 = 11376^2 + 818^2 .
It is not an unprimeable number, because it can be changed into a prime (130082501) 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 19 ways as a sum of consecutive naturals, for example, 152074 + ... + 152926.
Almost surely, 2130082500 is an apocalyptic number.
130082500 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 130082500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144733358).
130082500 is an abundant number, since it is smaller than the sum of its proper divisors (159384216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130082500 is an equidigital number, since it uses as much as digits as its factorization.
130082500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 938 (or 921 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
The square root of 130082500 is about 11405.3715415150. The cubic root of 130082500 is about 506.6868403402.
The spelling of 130082500 in words is "one hundred thirty million, eighty-two thousand, five hundred".
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