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9000009 = 321019901
BaseRepresentation
bin100010010101…
…010001001001
3121221020200200
4202111101021
54301000014
6520522413
7136333044
oct42252111
917836620
109000009
115097927
123020409
131b31665
1412a3c5b
15bcba09
hex895449

9000009 has 12 divisors (see below), whose sum is σ = 13130052. Its totient is φ = 5940000.

The previous prime is 8999993. The next prime is 9000011.

9000009 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 8643600 + 356409 = 2940^2 + 597^2 .

It is not a de Polignac number, because 9000009 - 24 = 8999993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8999955 and 9000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4042 + ... + 5859.

It is an arithmetic number, because the mean of its divisors is an integer number (1094171).

Almost surely, 29000009 is an apocalyptic number.

It is an amenable number.

9000009 is a deficient number, since it is larger than the sum of its proper divisors (4130043).

9000009 is a wasteful number, since it uses less digits than its factorization.

9000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 9000009 is about 3000.0014999996. The cubic root of 9000009 is about 208.0084516413.

It can be divided in two parts, 900000 and 9, that added together give a palindrome (900009).

The spelling of 9000009 in words is "nine million, nine", and thus it is an aban number and an uban number.

Divisors: 1 3 9 101 303 909 9901 29703 89109 1000001 3000003 9000009