Base | Representation |
---|---|
bin | 100010010111… |
… | …011111000010 |
3 | 121221201011000 |
4 | 202113133002 |
5 | 4301242330 |
6 | 521032430 |
7 | 136401366 |
oct | 42273702 |
9 | 17851130 |
10 | 9009090 |
11 | 50a3732 |
12 | 3025716 |
13 | 1b3582c |
14 | 12a72a6 |
15 | bce560 |
hex | 8977c2 |
9009090 has 64 divisors (see below), whose sum is σ = 24462720. Its totient is φ = 2358720.
The previous prime is 9009083. The next prime is 9009103. The reversal of 9009090 is 909009.
9009090 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×90090903 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
9009090 is a modest number, since divided by 9090 gives 900 as remainder.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16197 + ... + 16743.
It is an arithmetic number, because the mean of its divisors is an integer number (382230).
Almost surely, 29009090 is an apocalyptic number.
9009090 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 9009090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231360).
9009090 is an abundant number, since it is smaller than the sum of its proper divisors (15453630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9009090 is a wasteful number, since it uses less digits than its factorization.
9009090 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 624 (or 618 counting only the distinct ones).
The product of its (nonzero) digits is 729, while the sum is 27.
The square root of 9009090 is about 3001.5146176556. The cubic root of 9009090 is about 208.0783882305.
The spelling of 9009090 in words is "nine million, nine thousand, ninety".
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