11382500 has 60 divisors (see below), whose sum is σ = 25913580. Its totient is φ = 4368000.

The previous prime is 11382491. The next prime is 11382509. The reversal of 11382500 is 528311.

It is an interprime number because it is at equal distance from previous prime (11382491) and next prime (11382509).

It can be written as a sum of positive squares in 10 ways, for example, as 9597604 + 1784896 = 3098^2 + 1336^2 .

It is a super-2 number, since 2×11382500² = 259122612500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11382509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72422 + ... + 72578.

It is an arithmetic number, because the mean of its divisors is an integer number (431893).

Almost surely, 2^11382500 is an apocalyptic number.

11382500 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 11382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956790).

11382500 is an abundant number, since it is smaller than the sum of its proper divisors (14531080).

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

11382500 is a wasteful number, since it uses less digits than its factorization.

11382500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 11382500 is about 3373.7960815675. The cubic root of 11382500 is about 224.9464893324.

The spelling of 11382500 in words is "eleven million, three hundred eighty-two thousand, five hundred".