11380500 has 120 divisors (see below), whose sum is σ = 37261224. Its totient is φ = 3024000.

The previous prime is 11380489. The next prime is 11380507. The reversal of 11380500 is 508311.

It is a happy number.

11380500 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 4 ways, for example, as 171396 + 11209104 = 414^2 + 3348^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40360 + ... + 40640.

Almost surely, 2^11380500 is an apocalyptic number.

11380500 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 11380500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630612).

11380500 is an abundant number, since it is smaller than the sum of its proper divisors (25880724).

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

11380500 is a wasteful number, since it uses less digits than its factorization.

11380500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11380500 is about 3373.4996665184. The cubic root of 11380500 is about 224.9333135705.

11380500 divided by its sum of digits (18) gives a triangular number (632250 = T₁₁₂₄).

Adding to 11380500 its reverse (508311), we get a palindrome (11888811).

The spelling of 11380500 in words is "eleven million, three hundred eighty thousand, five hundred".