Base | Representation |
---|---|
bin | 10001000011000… |
… | …001011100001000 |
3 | 201221011120002210 |
4 | 101003001130020 |
5 | 1041204130000 |
6 | 44214025120 |
7 | 10042000551 |
oct | 2103013410 |
9 | 657146083 |
10 | 286005000 |
11 | 137495876 |
12 | 7b9481a0 |
13 | 4733aa38 |
14 | 29dad328 |
15 | 1a197350 |
hex | 110c1708 |
286005000 has 160 divisors (see below), whose sum is σ = 933451200. Its totient is φ = 72864000.
The previous prime is 286004987. The next prime is 286005007. The reversal of 286005000 is 500682.
It is a happy number.
286005000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (286005007) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344586 + ... + 345414.
It is an arithmetic number, because the mean of its divisors is an integer number (5834070).
Almost surely, 2286005000 is an apocalyptic number.
286005000 is a gapful number since it is divisible by the number (20) 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 286005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466725600).
286005000 is an abundant number, since it is smaller than the sum of its proper divisors (647446200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
286005000 is a wasteful number, since it uses less digits than its factorization.
286005000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 881 (or 862 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 21.
The square root of 286005000 is about 16911.6823527407. The cubic root of 286005000 is about 658.8570669014.
Adding to 286005000 its reverse (500682), we get a palindrome (286505682).
The spelling of 286005000 in words is "two hundred eighty-six million, five thousand".
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