13413240 has 192 divisors, whose sum is σ = 48016800. Its totient is φ = 3234816.

The previous prime is 13413223. The next prime is 13413241. The reversal of 13413240 is 4231431.

13413240 is a `hidden beast` number, since 1 + 341 + 324 + 0 = 666.

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 (13413241) 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 47 ways as a sum of consecutive naturals, for example, 253054 + ... + 253106.

Almost surely, 2^13413240 is an apocalyptic number.

13413240 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 13413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008400).

13413240 is an abundant number, since it is smaller than the sum of its proper divisors (34603560).

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

13413240 is a wasteful number, since it uses less digits than its factorization.

13413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13413240 is about 3662.4090432392. The cubic root of 13413240 is about 237.5989762905.

Adding to 13413240 its reverse (4231431), we get a palindrome (17644671).

The spelling of 13413240 in words is "thirteen million, four hundred thirteen thousand, two hundred forty".