Base | Representation |
---|---|
bin | 101011101001… |
… | …000000000000 |
3 | 210112012220110 |
4 | 223221000000 |
5 | 10412041003 |
6 | 1045111320 |
7 | 166145100 |
oct | 53510000 |
9 | 23465813 |
10 | 11440128 |
11 | 6504157 |
12 | 39b8540 |
13 | 24a720b |
14 | 173b200 |
15 | 100ea03 |
hex | ae9000 |
11440128 has 156 divisors (see below), whose sum is σ = 37350960. Its totient is φ = 3096576.
The previous prime is 11440127. The next prime is 11440151. The reversal of 11440128 is 82104411.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is not an unprimeable number, because it can be changed into a prime (11440127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602103 + ... + 602121.
Almost surely, 211440128 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 11440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675480).
11440128 is an abundant number, since it is smaller than the sum of its proper divisors (25910832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11440128 is an equidigital number, since it uses as much as digits as its factorization.
11440128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60 (or 31 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 21.
The square root of 11440128 is about 3382.3258270013. The cubic root of 11440128 is about 225.3254746354.
Adding to 11440128 its reverse (82104411), we get a palindrome (93544539).
The spelling of 11440128 in words is "eleven million, four hundred forty thousand, one hundred twenty-eight".
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