11146000 has 40 divisors (see below), whose sum is σ = 26955864. Its totient is φ = 4457600.

The previous prime is 11145997. The next prime is 11146001. The reversal of 11146000 is 64111.

It can be written as a sum of positive squares in 4 ways, for example, as 2572816 + 8573184 = 1604^2 + 2928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11146001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787 + ... + 4786.

Almost surely, 2^11146000 is an apocalyptic number.

11146000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11146000 is an abundant number, since it is smaller than the sum of its proper divisors (15809864).

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

11146000 is an equidigital number, since it uses as much as digits as its factorization.

11146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11146000 is about 3338.5625649372. The cubic root of 11146000 is about 223.3776303807.

The spelling of 11146000 in words is "eleven million, one hundred forty-six thousand".