11424240 has 200 divisors, whose sum is σ = 41591088. Its totient is φ = 2903040.

The previous prime is 11424239. The next prime is 11424241. The reversal of 11424240 is 4242411.

11424240 = 115² + 116² + ... + 329².

11424240 is a `hidden beast` number, since 1 + 1 + 424 + 240 = 666.

11424240 is digitally balanced in base 2 and base 4, because in such bases 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 (11424239) and next prime (11424241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265659 + ... + 265701.

Almost surely, 2^11424240 is an apocalyptic number.

11424240 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 11424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795544).

11424240 is an abundant number, since it is smaller than the sum of its proper divisors (30166848).

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

11424240 is a wasteful number, since it uses less digits than its factorization.

11424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 11424240 is about 3379.9763312781. The cubic root of 11424240 is about 225.2211159632.

Adding to 11424240 its reverse (4242411), we get a palindrome (15666651).

It can be divided in two parts, 11424 and 240, that added together give a square (11664 = 108²).

The spelling of 11424240 in words is "eleven million, four hundred twenty-four thousand, two hundred forty".