11290000 has 50 divisors (see below), whose sum is σ = 27358430. Its totient is φ = 4512000.

The previous prime is 11289979. The next prime is 11290003. The reversal of 11290000 is 9211.

It can be written as a sum of positive squares in 5 ways, for example, as 7160976 + 4129024 = 2676^2 + 2032^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (11290003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9436 + ... + 10564.

Almost surely, 2^11290000 is an apocalyptic number.

11290000 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 11290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679215).

11290000 is an abundant number, since it is smaller than the sum of its proper divisors (16068430).

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

11290000 is an equidigital number, since it uses as much as digits as its factorization.

11290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 11290000 is about 3360.0595232823. The cubic root of 11290000 is about 224.3354879304.

Adding to 11290000 its reverse (9211), we get a palindrome (11299211).

The spelling of 11290000 in words is "eleven million, two hundred ninety thousand".