13742700 has 72 divisors (see below), whose sum is σ = 41872320. Its totient is φ = 3470400.

The previous prime is 13742699. The next prime is 13742711. The reversal of 13742700 is 724731.

13742700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4495 + ... + 6905.

It is an arithmetic number, because the mean of its divisors is an integer number (581560).

Almost surely, 2^13742700 is an apocalyptic number.

13742700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13742700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936160).

13742700 is an abundant number, since it is smaller than the sum of its proper divisors (28129620).

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

13742700 is a wasteful number, since it uses less digits than its factorization.

13742700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13742700 is about 3707.1147810663. The cubic root of 13742700 is about 239.5285885420.

The spelling of 13742700 in words is "thirteen million, seven hundred forty-two thousand, seven hundred".