Base | Representation |
---|---|
bin | 101011010110… |
… | …010000000000 |
3 | 210101022120000 |
4 | 223112100000 |
5 | 10402111303 |
6 | 1043320000 |
7 | 165405144 |
oct | 53262000 |
9 | 23338500 |
10 | 11363328 |
11 | 6461489 |
12 | 3980000 |
13 | 247b282 |
14 | 171b224 |
15 | ee6da3 |
hex | ad6400 |
11363328 has 110 divisors (see below), whose sum is σ = 34180806. Its totient is φ = 3760128.
The previous prime is 11363321. The next prime is 11363351. The reversal of 11363328 is 82336311.
It is a happy number.
11363328 is a `hidden beast` number, since 1 + 1 + 3 + 633 + 28 = 666.
It can be written as a sum of positive squares in only one way, i.e., 10036224 + 1327104 = 3168^2 + 1152^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11363321) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82876 + ... + 83012.
Almost surely, 211363328 is an apocalyptic number.
11363328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17090403).
11363328 is an abundant number, since it is smaller than the sum of its proper divisors (22817478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11363328 is an equidigital number, since it uses as much as digits as its factorization.
11363328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 169 (or 142 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 11363328 is about 3370.9535742873. The cubic root of 11363328 is about 224.8201229016.
Adding to 11363328 its reverse (82336311), we get a palindrome (93699639).
The spelling of 11363328 in words is "eleven million, three hundred sixty-three thousand, three hundred twenty-eight".
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