Base | Representation |
---|---|
bin | 101001111101… |
… | …111110000000 |
3 | 202200221112102 |
4 | 221331332000 |
5 | 10304023403 |
6 | 1031445532 |
7 | 162341003 |
oct | 51757600 |
9 | 22627472 |
10 | 11001728 |
11 | 6234841 |
12 | 38268a8 |
13 | 23827ca |
14 | 166553a |
15 | e74b88 |
hex | a7df80 |
11001728 has 64 divisors (see below), whose sum is σ = 23721120. Its totient is φ = 5068800.
The previous prime is 11001721. The next prime is 11001743. The reversal of 11001728 is 82710011.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11001721) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108878 + ... + 108978.
Almost surely, 211001728 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 11001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860560).
11001728 is an abundant number, since it is smaller than the sum of its proper divisors (12719392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11001728 is a wasteful number, since it uses less digits than its factorization.
11001728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 175 (or 163 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 20.
The square root of 11001728 is about 3316.8852859271. The cubic root of 11001728 is about 222.4096540157.
Adding to 11001728 its reverse (82710011), we get a palindrome (93711739).
The spelling of 11001728 in words is "eleven million, one thousand, seven hundred twenty-eight".
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