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9966933 = 323732969
BaseRepresentation
bin100110000001…
…010101010101
3200202101001200
4212001111111
510022420213
6553343113
7150501054
oct46012525
920671050
109966933
115698339
123407a99
1320ac7c2
14147639b
15d1d273
hex981555

9966933 has 12 divisors (see below), whose sum is σ = 14440140. Its totient is φ = 6624576.

The previous prime is 9966883. The next prime is 9966937. The reversal of 9966933 is 3396699.

It can be written as a sum of positive squares in 2 ways, for example, as 1912689 + 8054244 = 1383^2 + 2838^2 .

It is not a de Polignac number, because 9966933 - 212 = 9962837 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 9 + 97 + 62 + 66 + 97 + 311 + 311 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1873 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (1203345).

Almost surely, 29966933 is an apocalyptic number.

It is an amenable number.

9966933 is a deficient number, since it is larger than the sum of its proper divisors (4473207).

9966933 is a wasteful number, since it uses less digits than its factorization.

9966933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3345 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 9966933 is about 3157.0449790904. The cubic root of 9966933 is about 215.2057378021.

The spelling of 9966933 in words is "nine million, nine hundred sixty-six thousand, nine hundred thirty-three".

Divisors: 1 3 9 373 1119 2969 3357 8907 26721 1107437 3322311 9966933