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9000966 = 2313167691
BaseRepresentation
bin100010010101…
…100000000110
3121221022000010
4202111200012
54301012331
6520531050
7136335612
oct42254006
917838003
109000966
115098617
123020a86
131b31c20
1412a4342
15bcbe46
hex895806

9000966 has 32 divisors (see below), whose sum is σ = 19531008. Its totient is φ = 2748960.

The previous prime is 9000961. The next prime is 9000983. The reversal of 9000966 is 6690009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12681 + ... + 13371.

It is an arithmetic number, because the mean of its divisors is an integer number (610344).

Almost surely, 29000966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765504).

9000966 is an abundant number, since it is smaller than the sum of its proper divisors (10530042).

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

9000966 is a wasteful number, since it uses less digits than its factorization.

9000966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 9000966 is about 3000.1609956801. The cubic root of 9000966 is about 208.0158241166.

The spelling of 9000966 in words is "nine million, nine hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 167 334 501 691 1002 1382 2073 2171 4146 4342 6513 8983 13026 17966 26949 53898 115397 230794 346191 692382 1500161 3000322 4500483 9000966