Base | Representation |
---|---|
bin | 100101110101… |
… | …011010110000 |
3 | 200122220010002 |
4 | 211311122300 |
5 | 10014340003 |
6 | 552325132 |
7 | 150205553 |
oct | 45653260 |
9 | 20586102 |
10 | 9918128 |
11 | 5664700 |
12 | 33a37a8 |
13 | 209351c |
14 | 146269a |
15 | d0da88 |
hex | 9756b0 |
9918128 has 60 divisors (see below), whose sum is σ = 21769440. Its totient is φ = 4371840.
The previous prime is 9918127. The next prime is 9918131. The reversal of 9918128 is 8218199.
9918128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 9918091 and 9918100.
It is not an unprimeable number, because it can be changed into a prime (9918121) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90938 + ... + 91046.
It is an arithmetic number, because the mean of its divisors is an integer number (362824).
Almost surely, 29918128 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 9918128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10884720).
9918128 is an abundant number, since it is smaller than the sum of its proper divisors (11851312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9918128 is a wasteful number, since it uses less digits than its factorization.
9918128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 169 counting only the distinct ones).
The product of its digits is 10368, while the sum is 38.
The square root of 9918128 is about 3149.3059552860. The cubic root of 9918128 is about 214.8538974940.
It can be divided in two parts, 991 and 8128, that added together give a palindrome (9119).
The spelling of 9918128 in words is "nine million, nine hundred eighteen thousand, one hundred twenty-eight".
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