13730040 has 64 divisors (see below), whose sum is σ = 45770400. Its totient is φ = 3661056.

The previous prime is 13730023. The next prime is 13730047. The reversal of 13730040 is 4003731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13729995 and 13730022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13730047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5277 + ... + 7436.

Almost surely, 2^13730040 is an apocalyptic number.

13730040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13730040 is an abundant number, since it is smaller than the sum of its proper divisors (32040360).

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

13730040 is a wasteful number, since it uses less digits than its factorization.

13730040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13730040 is about 3705.4068602517. The cubic root of 13730040 is about 239.4550133934.

Adding to 13730040 its reverse (4003731), we get a palindrome (17733771).

The spelling of 13730040 in words is "thirteen million, seven hundred thirty thousand, forty".