Base | Representation |
---|---|
bin | 100101010000… |
… | …110011000100 |
3 | 200101021100200 |
4 | 211100303010 |
5 | 10000040012 |
6 | 545210500 |
7 | 146012343 |
oct | 45206304 |
9 | 20337320 |
10 | 9768132 |
11 | 5571a40 |
12 | 3330a30 |
13 | 204017a |
14 | 1423b5a |
15 | cce3dc |
hex | 950cc4 |
9768132 has 72 divisors (see below), whose sum is σ = 28540512. Its totient is φ = 2784000.
The previous prime is 9768119. The next prime is 9768133. The reversal of 9768132 is 2318679.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9768133) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6007 + ... + 7457.
It is an arithmetic number, because the mean of its divisors is an integer number (396396).
Almost surely, 29768132 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 9768132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256).
9768132 is an abundant number, since it is smaller than the sum of its proper divisors (18772380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9768132 is a wasteful number, since it uses less digits than its factorization.
9768132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1489 (or 1484 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 9768132 is about 3125.4010942597. The cubic root of 9768132 is about 213.7652825843.
The spelling of 9768132 in words is "nine million, seven hundred sixty-eight thousand, one hundred thirty-two".
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