11341800 has 72 divisors (see below), whose sum is σ = 38095590. Its totient is φ = 3024000.

The previous prime is 11341787. The next prime is 11341807. The reversal of 11341800 is 814311.

It can be written as a sum of positive squares in 3 ways, for example, as 8964036 + 2377764 = 2994^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11341807) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1351 + ... + 4950.

Almost surely, 2^11341800 is an apocalyptic number.

11341800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11341800 is an abundant number, since it is smaller than the sum of its proper divisors (26753790).

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

11341800 is a wasteful number, since it uses less digits than its factorization.

11341800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11341800 is about 3367.7588987337. The cubic root of 11341800 is about 224.6780580867.

The spelling of 11341800 in words is "eleven million, three hundred forty-one thousand, eight hundred".