13730730 has 128 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 2985984.

The previous prime is 13730729. The next prime is 13730767. The reversal of 13730730 is 3703731.

It is a self number, because there is not a number n which added to its sum of digits gives 13730730.

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 63 ways as a sum of consecutive naturals, for example, 125916 + ... + 126024.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 2^13730730 is an apocalyptic number.

13730730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3705×3706.

It is a practical number, because each smaller number is the sum of distinct divisors of 13730730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

13730730 is an abundant number, since it is smaller than the sum of its proper divisors (26186070).

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

13730730 is a wasteful number, since it uses less digits than its factorization.

13730730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its (nonzero) digits is 1323, while the sum is 24.

The square root of 13730730 is about 3705.4999662664. The cubic root of 13730730 is about 239.4590245784.

The spelling of 13730730 in words is "thirteen million, seven hundred thirty thousand, seven hundred thirty".