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9009966 = 2371712619
BaseRepresentation
bin100010010111…
…101100101110
3121221202100110
4202113230232
54301304331
6521040450
7136404060
oct42275456
917852313
109009966
1150a4359
123026126
131b36054
1412a7730
15bce946
hex897b2e

9009966 has 32 divisors (see below), whose sum is σ = 21807360. Its totient is φ = 2422656.

The previous prime is 9009961. The next prime is 9009977. The reversal of 9009966 is 6699009.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5596 + ... + 7023.

It is an arithmetic number, because the mean of its divisors is an integer number (681480).

Almost surely, 29009966 is an apocalyptic number.

9009966 is an abundant number, since it is smaller than the sum of its proper divisors (12797394).

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

9009966 is a wasteful number, since it uses less digits than its factorization.

9009966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12648.

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 9009966 is about 3001.6605404342. The cubic root of 9009966 is about 208.0851321880.

The spelling of 9009966 in words is "nine million, nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 12619 25238 37857 75714 88333 176666 214523 264999 429046 529998 643569 1287138 1501661 3003322 4504983 9009966