13538730 has 32 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 3548672.

The previous prime is 13538729. The next prime is 13538731. The reversal of 13538730 is 3783531.

It is an interprime number because it is at equal distance from previous prime (13538729) and next prime (13538731).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13538731) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2055 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^13538730 is an apocalyptic number.

13538730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13538730 is an abundant number, since it is smaller than the sum of its proper divisors (19509270).

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

13538730 is a wasteful number, since it uses less digits than its factorization.

13538730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 13538730 is about 3679.5013249080. The cubic root of 13538730 is about 238.3376442513.

The spelling of 13538730 in words is "thirteen million, five hundred thirty-eight thousand, seven hundred thirty".