Base | Representation |
---|---|
bin | 100101100101… |
… | …000000000000 |
3 | 200112110212102 |
4 | 211211000000 |
5 | 10010212010 |
6 | 551045532 |
7 | 146505524 |
oct | 45450000 |
9 | 20473772 |
10 | 9850880 |
11 | 5619126 |
12 | 33708a8 |
13 | 206ba30 |
14 | 1445d84 |
15 | ce8ba5 |
hex | 965000 |
9850880 has 104 divisors (see below), whose sum is σ = 26145672. Its totient is φ = 3538944.
The previous prime is 9850861. The next prime is 9850889. The reversal of 9850880 is 880589.
It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 8667136 = 1088^2 + 2944^2 .
It is a tau number, because it is divible by the number of its divisors (104).
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9850889) 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, 266222 + ... + 266258.
Almost surely, 29850880 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 9850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072836).
9850880 is an abundant number, since it is smaller than the sum of its proper divisors (16294792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9850880 is a wasteful number, since it uses less digits than its factorization.
9850880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 38.
The square root of 9850880 is about 3138.6111578212. The cubic root of 9850880 is about 214.3672037159.
The spelling of 9850880 in words is "nine million, eight hundred fifty thousand, eight hundred eighty".
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