11193952 has 108 divisors (see below), whose sum is σ = 28656180. Its totient is φ = 4287360.

The previous prime is 11193947. The next prime is 11193953. The reversal of 11193952 is 25939111.

It is a happy number.

It is a super-2 number, since 2×11193952² = 250609122756608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11193953) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 189699 + ... + 189757.

It is an arithmetic number, because the mean of its divisors is an integer number (265335).

Almost surely, 2^11193952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11193952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328090).

11193952 is an abundant number, since it is smaller than the sum of its proper divisors (17462228).

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

11193952 is a wasteful number, since it uses less digits than its factorization.

11193952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its digits is 2430, while the sum is 31.

The square root of 11193952 is about 3345.7363912897. The cubic root of 11193952 is about 223.6975083631.

The spelling of 11193952 in words is "eleven million, one hundred ninety-three thousand, nine hundred fifty-two".