Base | Representation |
---|---|
bin | 100101110000… |
… | …100000000000 |
3 | 200121212111000 |
4 | 211300200000 |
5 | 10013213414 |
6 | 552052000 |
7 | 150063045 |
oct | 45604000 |
9 | 20555430 |
10 | 9897984 |
11 | 5650558 |
12 | 3394000 |
13 | 20872c5 |
14 | 14591cc |
15 | d07b09 |
hex | 970800 |
9897984 has 96 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 3280896.
The previous prime is 9897983. The next prime is 9898001. The reversal of 9897984 is 4897989.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 9897984.
It is not an unprimeable number, because it can be changed into a prime (9897983) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55207 + ... + 55385.
It is an arithmetic number, because the mean of its divisors is an integer number (307125).
Almost surely, 29897984 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 9897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).
9897984 is an abundant number, since it is smaller than the sum of its proper divisors (19586016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9897984 is a wasteful number, since it uses less digits than its factorization.
9897984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 210 (or 184 counting only the distinct ones).
The product of its digits is 1306368, while the sum is 54.
The square root of 9897984 is about 3146.1061647694. The cubic root of 9897984 is about 214.7083407811.
The spelling of 9897984 in words is "nine million, eight hundred ninety-seven thousand, nine hundred eighty-four".
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