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9090 = 2325101
BaseRepresentation
bin10001110000010
3110110200
42032002
5242330
6110030
735334
oct21602
913420
109090
116914
125316
1341a3
143454
152a60
hex2382

9090 has 24 divisors (see below), whose sum is σ = 23868. Its totient is φ = 2400.

The previous prime is 9067. The next prime is 9091. The reversal of 9090 is 909.

9090 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 441 = 93^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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

9090 is an undulating number in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40 + ... + 140.

29090 is an apocalyptic number.

9090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934).

9090 is an abundant number, since it is smaller than the sum of its proper divisors (14778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9090 is a wasteful number, since it uses less digits than its factorization.

9090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

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

The square root of 9090 is about 95.3414914924. The cubic root of 9090 is about 20.8699445130.

9090 divided by its sum of digits (18) gives a palindrome (505).

Subtracting from 9090 its product of nonzero digits (81), we obtain a palindrome (9009).

Adding to 9090 its reverse (909), we get a palindrome (9999).

The spelling of 9090 in words is "nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090