Base | Representation |
---|---|
bin | 100110000101… |
… | …101110011100 |
3 | 200210021202000 |
4 | 212011232130 |
5 | 10024004144 |
6 | 554002300 |
7 | 150604365 |
oct | 46055634 |
9 | 20707660 |
10 | 9984924 |
11 | 56aa904 |
12 | 3416390 |
13 | 20b7a51 |
14 | 147cb6c |
15 | d23769 |
hex | 985b9c |
9984924 has 48 divisors (see below), whose sum is σ = 26342400. Its totient is φ = 3269808.
The previous prime is 9984913. The next prime is 9984929. The reversal of 9984924 is 4294899.
9984924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 9984924.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9984929) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5589 + ... + 7155.
It is an arithmetic number, because the mean of its divisors is an integer number (548800).
Almost surely, 29984924 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 9984924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171200).
9984924 is an abundant number, since it is smaller than the sum of its proper divisors (16357476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9984924 is a wasteful number, since it uses less digits than its factorization.
9984924 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1639 (or 1631 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 9984924 is about 3159.8930361644. The cubic root of 9984924 is about 215.3351470249.
The spelling of 9984924 in words is "nine million, nine hundred eighty-four thousand, nine hundred twenty-four".
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