11393424 has 120 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3193344.

The previous prime is 11393419. The next prime is 11393429. The reversal of 11393424 is 42439311.

11393424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11393419) and next prime (11393429).

It is a super-2 number, since 2×11393424² = 259620220887552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11393429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89649 + ... + 89775.

It is an arithmetic number, because the mean of its divisors is an integer number (309504).

Almost surely, 2^11393424 is an apocalyptic number.

11393424 is a gapful number since it is divisible by the number (14) 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 11393424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

11393424 is an abundant number, since it is smaller than the sum of its proper divisors (25747056).

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

11393424 is a wasteful number, since it uses less digits than its factorization.

11393424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 11393424 is about 3375.4146411960. The cubic root of 11393424 is about 225.0184281203.

The spelling of 11393424 in words is "eleven million, three hundred ninety-three thousand, four hundred twenty-four".