Base | Representation |
---|---|
bin | 111111100001101… |
… | …0111110110000000 |
3 | 12111112222000111100 |
4 | 1333003113312000 |
5 | 13331141344103 |
6 | 551303214400 |
7 | 103552135434 |
oct | 17703276600 |
9 | 5445860440 |
10 | 2131590528 |
11 | 9a4255571 |
12 | 4b5a47400 |
13 | 27c7cba92 |
14 | 1631509c4 |
15 | c72075a3 |
hex | 7f0d7d80 |
2131590528 has 96 divisors (see below), whose sum is σ = 6225649560. Its totient is φ = 699899904.
The previous prime is 2131590523. The next prime is 2131590551. The reversal of 2131590528 is 8250951312.
2131590528 is a `hidden beast` number, since 2 + 13 + 1 + 590 + 52 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2131590492 and 2131590501.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2131590523) 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 11 ways as a sum of consecutive naturals, for example, 63376 + ... + 90992.
Almost surely, 22131590528 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 2131590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112824780).
2131590528 is an abundant number, since it is smaller than the sum of its proper divisors (4094059032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131590528 is a wasteful number, since it uses less digits than its factorization.
2131590528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27704 (or 27689 counting only the distinct ones).
The product of its (nonzero) digits is 21600, while the sum is 36.
The square root of 2131590528 is about 46169.1512592554. The cubic root of 2131590528 is about 1286.9685297934.
The spelling of 2131590528 in words is "two billion, one hundred thirty-one million, five hundred ninety thousand, five hundred twenty-eight".
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