13383240 has 128 divisors (see below), whose sum is σ = 45239040. Its totient is φ = 3142656.

The previous prime is 13383221. The next prime is 13383241. The reversal of 13383240 is 4238331.

It is a super-2 number, since 2×13383240² = 358222225795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13383240.

It is not an unprimeable number, because it can be changed into a prime (13383241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35694 + ... + 36066.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 2^13383240 is an apocalyptic number.

13383240 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 13383240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

13383240 is an abundant number, since it is smaller than the sum of its proper divisors (31855800).

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

13383240 is a wasteful number, since it uses less digits than its factorization.

13383240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13383240 is about 3658.3110857334. The cubic root of 13383240 is about 237.4217064181.

The spelling of 13383240 in words is "thirteen million, three hundred eighty-three thousand, two hundred forty".