Base | Representation |
---|---|
bin | 100110000110… |
… | …000010100000 |
3 | 200210100111120 |
4 | 212012002200 |
5 | 10024024313 |
6 | 554012240 |
7 | 150611211 |
oct | 46060240 |
9 | 20710446 |
10 | 9986208 |
11 | 5700871 |
12 | 3417080 |
13 | 20b84cb |
14 | 147d408 |
15 | d23d23 |
hex | 9860a0 |
9986208 has 96 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 3010560.
The previous prime is 9986183. The next prime is 9986213. The reversal of 9986208 is 8026899.
It is a tau number, because it is divible by the number of its divisors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 9986208.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 47223 + ... + 47433.
It is an arithmetic number, because the mean of its divisors is an integer number (300510).
Almost surely, 29986208 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9986208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).
9986208 is an abundant number, since it is smaller than the sum of its proper divisors (18862752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9986208 is a wasteful number, since it uses less digits than its factorization.
9986208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 270 (or 262 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 42.
The square root of 9986208 is about 3160.0962010673. The cubic root of 9986208 is about 215.3443768891.
The spelling of 9986208 in words is "nine million, nine hundred eighty-six thousand, two hundred eight".
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