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9090909 = 3273101137
BaseRepresentation
bin100010101011…
…011101011101
3122002212101100
4202223131131
54311402114
6522503313
7140162052
oct42533535
918085340
109090909
11514a153
123064b39
131b63b49
1412c9029
15be8909
hex8ab75d

9090909 has 24 divisors (see below), whose sum is σ = 13541112. Its totient is φ = 5875200.

The previous prime is 9090901. The next prime is 9090919.

9090909 is nontrivially palindromic in base 10.

9090909 is digitally balanced in base 3, 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 4347225 + 4743684 = 2085^2 + 2178^2 .

It is not a de Polignac number, because 9090909 - 23 = 9090901 is a prime.

It is an alternating number because its digits alternate between odd and even.

9090909 is an undulating number in base 10.

9090909 is a modest number, since divided by 90909 gives 9 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66289 + ... + 66425.

It is an arithmetic number, because the mean of its divisors is an integer number (564213).

Almost surely, 29090909 is an apocalyptic number.

It is an amenable number.

9090909 is a deficient number, since it is larger than the sum of its proper divisors (4450203).

9090909 is a wasteful number, since it uses less digits than its factorization.

9090909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The square root of 9090909 is about 3015.1134307021. The cubic root of 9090909 is about 208.7064015466.

It can be divided in two parts, 9090 and 909, that added together give a palindrome (9999).

The spelling of 9090909 in words is "nine million, ninety thousand, nine hundred nine".

Divisors: 1 3 9 73 101 137 219 303 411 657 909 1233 7373 10001 13837 22119 30003 41511 66357 90009 124533 1010101 3030303 9090909