13350540 has 144 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 2878848.

The previous prime is 13350529. The next prime is 13350581. The reversal of 13350540 is 4505331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 55741 + ... + 55979.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^13350540 is an apocalyptic number.

13350540 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 13350540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

13350540 is an abundant number, since it is smaller than the sum of its proper divisors (32614260).

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

13350540 is a wasteful number, since it uses less digits than its factorization.

13350540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 13350540 is about 3653.8390769162. The cubic root of 13350540 is about 237.2281802479.

Adding to 13350540 its reverse (4505331), we get a palindrome (17855871).

The spelling of 13350540 in words is "thirteen million, three hundred fifty thousand, five hundred forty".