Base | Representation |
---|---|
bin | 111100001001001… |
… | …000011111010011 |
3 | 2121022122212212101 |
4 | 330021020133103 |
5 | 4031302331102 |
6 | 244042541231 |
7 | 34001405521 |
oct | 7411103723 |
9 | 2538585771 |
10 | 1009027027 |
11 | 478629a38 |
12 | 241b07817 |
13 | 13107ac18 |
14 | 9801b311 |
15 | 5d8b5e87 |
hex | 3c2487d3 |
1009027027 has 16 divisors (see below), whose sum is σ = 1090562400. Its totient is φ = 933576352.
The previous prime is 1009027021. The next prime is 1009027039. The reversal of 1009027027 is 7207209001.
It is a happy number.
The cubic root of 1009027027 is 1003.
It is a perfect power (a cube), and thus also a powerful number.
1009027027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a de Polignac number, because none of the positive numbers 2k-1009027027 is a prime.
It is a Duffinian number.
1009027027 is a modest number, since divided by 27027 gives 1009 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 1009026986 and 1009027004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1009027021) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17102124 + ... + 17102182.
It is an arithmetic number, because the mean of its divisors is an integer number (68160150).
Almost surely, 21009027027 is an apocalyptic number.
1009027027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.
1009027027 is a deficient number, since it is larger than the sum of its proper divisors (81535373).
1009027027 is an frugal number, since it uses more digits than its factorization.
1009027027 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 228 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 1764, while the sum is 28.
The square root of 1009027027 is about 31765.1857699589.
The spelling of 1009027027 in words is "one billion, nine million, twenty-seven thousand, twenty-seven".
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