Base | Representation |
---|---|
bin | 110101101001111… |
… | …010100000101001 |
3 | 2022201211212211100 |
4 | 311221322200221 |
5 | 3320421230014 |
6 | 225153552013 |
7 | 31210255341 |
oct | 6551724051 |
9 | 2281755740 |
10 | 900180009 |
11 | 422145623 |
12 | 211575609 |
13 | 11465a5c1 |
14 | 877a5d21 |
15 | 54065009 |
hex | 35a7a829 |
900180009 has 27 divisors (see below), whose sum is σ = 1328008773. Its totient is φ = 587578752.
The previous prime is 900179983. The next prime is 900180059. The reversal of 900180009 is 900081009.
The square root of 900180009 is 30003.
It is a perfect power (a square), and thus also a powerful number.
900180009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 21650409 + 878529600 = 4653^2 + 29640^2 .
It is not a de Polignac number, because 900180009 - 25 = 900179977 is a prime.
It is not an unprimeable number, because it can be changed into a prime (900180059) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6570589 + ... + 6570725.
Almost surely, 2900180009 is an apocalyptic number.
900180009 is the 30003-rd square number.
900180009 is the 15002-nd centered octagonal number.
It is an amenable number.
900180009 is a deficient number, since it is larger than the sum of its proper divisors (427828764).
900180009 is an equidigital number, since it uses as much as digits as its factorization.
900180009 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 426 (or 213 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 27.
The cubic root of 900180009 is about 965.5537494919.
The spelling of 900180009 in words is "nine hundred million, one hundred eighty thousand, nine".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •