Base | Representation |
---|---|
bin | 101111101100000… |
… | …0000110100000000 |
3 | 11010111221001010100 |
4 | 1133120000310000 |
5 | 11234113132204 |
6 | 422440202400 |
7 | 54436611633 |
oct | 13730006400 |
9 | 4114831110 |
10 | 1600130304 |
11 | 751260643 |
12 | 387a69400 |
13 | 1c6680186 |
14 | 112729c1a |
15 | 95727a39 |
hex | 5f600d00 |
1600130304 has 108 divisors (see below), whose sum is σ = 4885076196. Its totient is φ = 501989376.
The previous prime is 1600130299. The next prime is 1600130359. The reversal of 1600130304 is 4030310061.
1600130304 is a `hidden beast` number, since 1 + 600 + 1 + 30 + 30 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1478248704 + 121881600 = 38448^2 + 11040^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18742 + ... + 59594.
It is an arithmetic number, because the mean of its divisors is an integer number (45232187).
Almost surely, 21600130304 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 1600130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442538098).
1600130304 is an abundant number, since it is smaller than the sum of its proper divisors (3284945892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1600130304 is a wasteful number, since it uses less digits than its factorization.
1600130304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40892 (or 40875 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1600130304 is about 40001.6287668390. The cubic root of 1600130304 is about 1169.6388453572.
Adding to 1600130304 its reverse (4030310061), we get a palindrome (5630440365).
The spelling of 1600130304 in words is "one billion, six hundred million, one hundred thirty thousand, three hundred four".
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