13742730 has 64 divisors (see below), whose sum is σ = 38257920. Its totient is φ = 3503808.

The previous prime is 13742713. The next prime is 13742731. The reversal of 13742730 is 3724731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13742694 and 13742703.

It is not an unprimeable number, because it can be changed into a prime (13742731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5104 + ... + 7316.

It is an arithmetic number, because the mean of its divisors is an integer number (597780).

Almost surely, 2^13742730 is an apocalyptic number.

13742730 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 13742730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19128960).

13742730 is an abundant number, since it is smaller than the sum of its proper divisors (24515190).

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

13742730 is a wasteful number, since it uses less digits than its factorization.

13742730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13742730 is about 3707.1188273375. The cubic root of 13742730 is about 239.5287628370.

The spelling of 13742730 in words is "thirteen million, seven hundred forty-two thousand, seven hundred thirty".