13530384 has 120 divisors (see below), whose sum is σ = 44774912. Its totient is φ = 3732480.

The previous prime is 13530379. The next prime is 13530397. The reversal of 13530384 is 48303531.

13530384 = T₁ + T₂ + ... + T₄₃₂.

It is a happy number.

13530384 is a nontrivial binomial coefficient, being equal to C(434, 3).

It is a congruent number.

It is an unprimeable number.

It is the 432-nd tetrahedral number.

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 23 ways as a sum of consecutive naturals, for example, 31032 + ... + 31464.

Almost surely, 2^13530384 is an apocalyptic number.

13530384 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 13530384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387456).

13530384 is an abundant number, since it is smaller than the sum of its proper divisors (31244528).

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

13530384 is a wasteful number, since it uses less digits than its factorization.

13530384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13530384 is about 3678.3670289953. The cubic root of 13530384 is about 238.2886594779.

The spelling of 13530384 in words is "thirteen million, five hundred thirty thousand, three hundred eighty-four".