13005040 has 20 divisors (see below), whose sum is σ = 30236904. Its totient is φ = 5201984.

The previous prime is 13005037. The next prime is 13005053. The reversal of 13005040 is 4050031.

It is a tau number, because it is divible by the number of its divisors (20).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13005040.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 81202 + ... + 81361.

Almost surely, 2^13005040 is an apocalyptic number.

13005040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005040 is an abundant number, since it is smaller than the sum of its proper divisors (17231864).

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

13005040 is a wasteful number, since it uses less digits than its factorization.

13005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162576 (or 162570 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13005040 is about 3606.2501299827. The cubic root of 13005040 is about 235.1638513251.

Adding to 13005040 its reverse (4050031), we get a palindrome (17055071).

The spelling of 13005040 in words is "thirteen million, five thousand, forty".