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9906975 = 3352131129
BaseRepresentation
bin100101110010…
…101100011111
3200122022211000
4211302230133
510014010400
6552201343
7150131211
oct45625437
920568730
109906975
115657291
123399253
13208b420
14145c5b1
15d0a600
hex972b1f

9906975 has 48 divisors (see below), whose sum is σ = 19616800. Its totient is φ = 4872960.

The previous prime is 9906973. The next prime is 9906983. The reversal of 9906975 is 5796099.

It is not a de Polignac number, because 9906975 - 21 = 9906973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 9906975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8211 + ... + 9339.

Almost surely, 29906975 is an apocalyptic number.

9906975 is a deficient number, since it is larger than the sum of its proper divisors (9709825).

9906975 is a wasteful number, since it uses less digits than its factorization.

9906975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9906975 is about 3147.5347496096. The cubic root of 9906975 is about 214.7733324154.

The spelling of 9906975 in words is "nine million, nine hundred six thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 975 1129 1755 2925 3387 5645 8775 10161 14677 16935 28225 30483 44031 50805 73385 84675 132093 152415 220155 254025 366925 396279 660465 762075 1100775 1981395 3302325 9906975