11382000 has 160 divisors (see below), whose sum is σ = 42092544. Its totient is φ = 2592000.

The previous prime is 11381989. The next prime is 11382011. The reversal of 11382000 is 28311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11381989) and next prime (11382011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41865 + ... + 42135.

Almost surely, 2^11382000 is an apocalyptic number.

11382000 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 11382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046272).

11382000 is an abundant number, since it is smaller than the sum of its proper divisors (30710544).

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

11382000 is a wasteful number, since it uses less digits than its factorization.

11382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11382000 is about 3373.7219802467. The cubic root of 11382000 is about 224.9431955367.

The spelling of 11382000 in words is "eleven million, three hundred eighty-two thousand".