11300000 has 72 divisors (see below), whose sum is σ = 28052892. Its totient is φ = 4480000.

The previous prime is 11299997. The next prime is 11300017. The reversal of 11300000 is 311.

It can be written as a sum of positive squares in 6 ways, for example, as 4477456 + 6822544 = 2116^2 + 2612^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99944 + ... + 100056.

Almost surely, 2^11300000 is an apocalyptic number.

11300000 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 11300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026446).

11300000 is an abundant number, since it is smaller than the sum of its proper divisors (16752892).

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

11300000 is an frugal number, since it uses more digits than its factorization.

11300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 11300000 is about 3361.5472627943. The cubic root of 11300000 is about 224.4017026592.

Adding to 11300000 its reverse (311), we get a palindrome (11300311).

The spelling of 11300000 in words is "eleven million, three hundred thousand".