| Base | Representation |
|---|---|
| bin | 101011011010… |
| … | …011001100000 |
| 3 | 210102011212100 |
| 4 | 223122121200 |
| 5 | 10403132240 |
| 6 | 1043530400 |
| 7 | 165505530 |
| oct | 53323140 |
| 9 | 23364770 |
| 10 | 11380320 |
| 11 | 6473226 |
| 12 | 3989a00 |
| 13 | 2485c23 |
| 14 | 17234c0 |
| 15 | eebe30 |
| hex | ada660 |
11380320 has 144 divisors (see below), whose sum is σ = 44422560. Its totient is φ = 2598912.
The previous prime is 11380309. The next prime is 11380321. The reversal of 11380320 is 2308311.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 11380293 and 11380302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11380321) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 9516 + ... + 10644.
It is an arithmetic number, because the mean of its divisors is an integer number (308490).
Almost surely, 211380320 is an apocalyptic number.
11380320 is a gapful number since it is divisible by the number (10) 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 11380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22211280).
11380320 is an abundant number, since it is smaller than the sum of its proper divisors (33042240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11380320 is a wasteful number, since it uses less digits than its factorization.
11380320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 11380320 is about 3373.4729878865. The cubic root of 11380320 is about 224.9321276762.
Adding to 11380320 its reverse (2308311), we get a palindrome (13688631).
The spelling of 11380320 in words is "eleven million, three hundred eighty thousand, three hundred twenty".
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