11289500 has 48 divisors (see below), whose sum is σ = 25098528. Its totient is φ = 4435200.

The previous prime is 11289451. The next prime is 11289511. The reversal of 11289500 is 598211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11289500.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33332 + ... + 33668.

It is an arithmetic number, because the mean of its divisors is an integer number (522886).

Almost surely, 2^11289500 is an apocalyptic number.

11289500 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 11289500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549264).

11289500 is an abundant number, since it is smaller than the sum of its proper divisors (13809028).

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

11289500 is a wasteful number, since it uses less digits than its factorization.

11289500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 11289500 is about 3359.9851190147. The cubic root of 11289500 is about 224.3321761678.

The spelling of 11289500 in words is "eleven million, two hundred eighty-nine thousand, five hundred".