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9966688 = 252931063
BaseRepresentation
bin100110000001…
…010001100000
3200202100201121
4212001101200
510022413223
6553342024
7150500254
oct46012140
920670647
109966688
115698136
123407914
1320ac664
141476264
15d1d15d
hex981460

9966688 has 24 divisors (see below), whose sum is σ = 19707408. Its totient is φ = 4961664.

The previous prime is 9966667. The next prime is 9966689. The reversal of 9966688 is 8866699.

It is an Ulam number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8845 + ... + 9907.

It is an arithmetic number, because the mean of its divisors is an integer number (821142).

Almost surely, 29966688 is an apocalyptic number.

It is an amenable number.

9966688 is a deficient number, since it is larger than the sum of its proper divisors (9740720).

9966688 is a wasteful number, since it uses less digits than its factorization.

9966688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1358 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The square root of 9966688 is about 3157.0061767440. The cubic root of 9966688 is about 215.2039744433.

The spelling of 9966688 in words is "nine million, nine hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 293 586 1063 1172 2126 2344 4252 4688 8504 9376 17008 34016 311459 622918 1245836 2491672 4983344 9966688