Base | Representation |
---|---|
bin | 100101110010… |
… | …101001001000 |
3 | 200122022112001 |
4 | 211302221020 |
5 | 10014004020 |
6 | 552200344 |
7 | 150130453 |
oct | 45625110 |
9 | 20568461 |
10 | 9906760 |
11 | 5657106 |
12 | 33990b4 |
13 | 208b2b6 |
14 | 145c49a |
15 | d0a50a |
hex | 972a48 |
9906760 has 32 divisors (see below), whose sum is σ = 22715640. Its totient is φ = 3887104.
The previous prime is 9906751. The next prime is 9906761. The reversal of 9906760 is 676099.
It can be written as a sum of positive squares in 4 ways, for example, as 9872164 + 34596 = 3142^2 + 186^2 .
It is not an unprimeable number, because it can be changed into a prime (9906761) 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, 217 + ... + 4456.
Almost surely, 29906760 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 9906760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11357820).
9906760 is an abundant number, since it is smaller than the sum of its proper divisors (12808880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9906760 is a wasteful number, since it uses less digits than its factorization.
9906760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4737 (or 4733 counting only the distinct ones).
The product of its (nonzero) digits is 20412, while the sum is 37.
The square root of 9906760 is about 3147.5005957108. The cubic root of 9906760 is about 214.7717787424.
It can be divided in two parts, 990 and 6760, that added together give a triangular number (7750 = T124).
The spelling of 9906760 in words is "nine million, nine hundred six thousand, seven hundred sixty".
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