Base | Representation |
---|---|
bin | 1111100000000… |
… | …00001110000000 |
3 | 100001122220211120 |
4 | 13300000032000 |
5 | 231241234240 |
6 | 20522512240 |
7 | 3136121436 |
oct | 760001600 |
9 | 301586746 |
10 | 130024320 |
11 | 67439218 |
12 | 37665680 |
13 | 20c2688a |
14 | 133a8d56 |
15 | b635ad0 |
hex | 7c00380 |
130024320 has 128 divisors (see below), whose sum is σ = 417653280. Its totient is φ = 34406400.
The previous prime is 130024291. The next prime is 130024339. The reversal of 130024320 is 23420031.
130024320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 130024320.
It is a congruent number.
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, 462580 + ... + 462860.
Almost surely, 2130024320 is an apocalyptic number.
130024320 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 130024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208826640).
130024320 is an abundant number, since it is smaller than the sum of its proper divisors (287628960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130024320 is a wasteful number, since it uses less digits than its factorization.
130024320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 544 (or 532 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 130024320 is about 11402.8207036680. The cubic root of 130024320 is about 506.6112897310.
Adding to 130024320 its reverse (23420031), we get a palindrome (153444351).
The spelling of 130024320 in words is "one hundred thirty million, twenty-four thousand, three hundred twenty".
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