Base | Representation |
---|---|
bin | 110101101001100… |
… | …100100010011001 |
3 | 2022201200022101000 |
4 | 311221210202121 |
5 | 3320410340014 |
6 | 225152015213 |
7 | 31206432060 |
oct | 6551444231 |
9 | 2281608330 |
10 | 900090009 |
11 | 422093a45 |
12 | 211531509 |
13 | 114628650 |
14 | 877811d7 |
15 | 54048509 |
hex | 35a64899 |
900090009 has 64 divisors (see below), whose sum is σ = 1685716480. Its totient is φ = 461894400.
The previous prime is 900089989. The next prime is 900090049.
900090009 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 900090009 - 25 = 900089977 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
900090009 is a modest number, since divided by 90009 gives 9 as remainder.
It is not an unprimeable number, because it can be changed into a prime (900090049) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85959 + ... + 95859.
It is an arithmetic number, because the mean of its divisors is an integer number (26339320).
Almost surely, 2900090009 is an apocalyptic number.
It is an amenable number.
900090009 is a deficient number, since it is larger than the sum of its proper divisors (785626471).
900090009 is a wasteful number, since it uses less digits than its factorization.
900090009 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9967 (or 9961 counting only the distinct ones).
The product of its (nonzero) digits is 729, while the sum is 27.
The square root of 900090009 is about 30001.5001124944. The cubic root of 900090009 is about 965.5215697305.
The spelling of 900090009 in words is "nine hundred million, ninety thousand, nine".
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