13505730 has 64 divisors (see below), whose sum is σ = 37594368. Its totient is φ = 3041280.

The previous prime is 13505719. The next prime is 13505743. The reversal of 13505730 is 3750531.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13505730.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14890 + ... + 15770.

It is an arithmetic number, because the mean of its divisors is an integer number (587412).

Almost surely, 2^13505730 is an apocalyptic number.

13505730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13505730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797184).

13505730 is an abundant number, since it is smaller than the sum of its proper divisors (24088638).

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

13505730 is a wasteful number, since it uses less digits than its factorization.

13505730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 13505730 is about 3675.0142856865. The cubic root of 13505730 is about 238.1438412080.

The spelling of 13505730 in words is "thirteen million, five hundred five thousand, seven hundred thirty".