Base | Representation |
---|---|
bin | 100110000100… |
… | …110000000000 |
3 | 200210002021000 |
4 | 212010300000 |
5 | 10023342203 |
6 | 553532000 |
7 | 150556626 |
oct | 46046000 |
9 | 20702230 |
10 | 9980928 |
11 | 56a7901 |
12 | 3414000 |
13 | 20b5c99 |
14 | 147b516 |
15 | d224a3 |
hex | 984c00 |
9980928 has 132 divisors (see below), whose sum is σ = 31196280. Its totient is φ = 3151872.
The previous prime is 9980911. The next prime is 9980941. The reversal of 9980928 is 8290899.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an Ulam number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525303 + ... + 525321.
Almost surely, 29980928 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 9980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598140).
9980928 is an abundant number, since it is smaller than the sum of its proper divisors (21215352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9980928 is a wasteful number, since it uses less digits than its factorization.
9980928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 45.
The square root of 9980928 is about 3159.2606730056. The cubic root of 9980928 is about 215.3064172432.
The spelling of 9980928 in words is "nine million, nine hundred eighty thousand, nine hundred twenty-eight".
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