Base | Representation |
---|---|
bin | 101011001101… |
… | …001110100000 |
3 | 210022102212010 |
4 | 223031032200 |
5 | 10344420433 |
6 | 1042432520 |
7 | 165162324 |
oct | 53151640 |
9 | 23272763 |
10 | 11326368 |
11 | 6436739 |
12 | 3962740 |
13 | 24674c1 |
14 | 170b984 |
15 | edae63 |
hex | acd3a0 |
11326368 has 48 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3741696.
The previous prime is 11326351. The next prime is 11326379. The reversal of 11326368 is 86362311.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-3 number, since 3×113263683 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11728 + ... + 12656.
It is an arithmetic number, because the mean of its divisors is an integer number (624960).
Almost surely, 211326368 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 11326368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).
11326368 is an abundant number, since it is smaller than the sum of its proper divisors (18671712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11326368 is a wasteful number, since it uses less digits than its factorization.
11326368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).
The product of its digits is 5184, while the sum is 30.
The square root of 11326368 is about 3365.4669809701. The cubic root of 11326368 is about 224.5761105556.
Adding to 11326368 its reverse (86362311), we get a palindrome (97688679).
The spelling of 11326368 in words is "eleven million, three hundred twenty-six thousand, three hundred sixty-eight".
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