11380 has 12 divisors (see below), whose sum is σ = 23940. Its totient is φ = 4544.

The previous prime is 11369. The next prime is 11383. The reversal of 11380 is 8311.

11380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 8464 = 54^2 + 92^2 .

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11383) by changing a digit.

11380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 265 + ... + 304.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

2¹¹³⁸⁰ is an apocalyptic number.

11380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11380 is an abundant number, since it is smaller than the sum of its proper divisors (12560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970).

11380 is a wasteful number, since it uses less digits than its factorization.

11380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11380 is about 106.6770828248. The cubic root of 11380 is about 22.4930019389.

Adding to 11380 its reverse (8311), we get a palindrome (19691).

The spelling of 11380 in words is "eleven thousand, three hundred eighty".