Base | Representation |
---|---|
bin | 100101101100… |
… | …110100000000 |
3 | 200121002202121 |
4 | 211230310000 |
5 | 10012223010 |
6 | 551454024 |
7 | 150001030 |
oct | 45546400 |
9 | 20532677 |
10 | 9882880 |
11 | 5640177 |
12 | 3387314 |
13 | 2080477 |
14 | 14538c0 |
15 | d033da |
hex | 96cd00 |
9882880 has 72 divisors (see below), whose sum is σ = 27078912. Its totient is φ = 3385344.
The previous prime is 9882877. The next prime is 9882883. The reversal of 9882880 is 882889.
It is an interprime number because it is at equal distance from previous prime (9882877) and next prime (9882883).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9882883) 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, 8409 + ... + 9511.
It is an arithmetic number, because the mean of its divisors is an integer number (376096).
Almost surely, 29882880 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 9882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539456).
9882880 is an abundant number, since it is smaller than the sum of its proper divisors (17196032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9882880 is a wasteful number, since it uses less digits than its factorization.
9882880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1131 (or 1117 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 43.
The square root of 9882880 is about 3143.7048207489. The cubic root of 9882880 is about 214.5990725461.
The spelling of 9882880 in words is "nine million, eight hundred eighty-two thousand, eight hundred eighty".
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