Base | Representation |
---|---|
bin | 100110000001… |
… | …001100100111 |
3 | 200202100022000 |
4 | 212001030213 |
5 | 10022411000 |
6 | 553340343 |
7 | 150466326 |
oct | 46011447 |
9 | 20670260 |
10 | 9966375 |
11 | 5697981 |
12 | 34076b3 |
13 | 20ac483 |
14 | 14760bd |
15 | d1d000 |
hex | 981327 |
9966375 has 32 divisors (see below), whose sum is σ = 18432960. Its totient is φ = 5313600.
The previous prime is 9966371. The next prime is 9966389. The reversal of 9966375 is 5736699.
9966375 is a `hidden beast` number, since 9 + 9 + 6 + 637 + 5 = 666.
It is not a de Polignac number, because 9966375 - 22 = 9966371 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 9966375.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9966371) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899 + ... + 4851.
It is an arithmetic number, because the mean of its divisors is an integer number (576030).
Almost surely, 29966375 is an apocalyptic number.
9966375 is a deficient number, since it is larger than the sum of its proper divisors (8466585).
9966375 is a wasteful number, since it uses less digits than its factorization.
9966375 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2977 (or 2961 counting only the distinct ones).
The product of its digits is 306180, while the sum is 45.
The square root of 9966375 is about 3156.9566040730. The cubic root of 9966375 is about 215.2017216203.
The spelling of 9966375 in words is "nine million, nine hundred sixty-six thousand, three hundred seventy-five".
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