13742300 has 108 divisors (see below), whose sum is σ = 36200808. Its totient is φ = 4464000.

The previous prime is 13742297. The next prime is 13742347. The reversal of 13742300 is 324731.

13742300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 443285 + ... + 443315.

Almost surely, 2^13742300 is an apocalyptic number.

13742300 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 13742300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100404).

13742300 is an abundant number, since it is smaller than the sum of its proper divisors (22458508).

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

13742300 is a wasteful number, since it uses less digits than its factorization.

13742300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 13742300 is about 3707.0608303614. The cubic root of 13742300 is about 239.5262645842.

Subtracting from 13742300 its reverse (324731), we obtain a square (13417569 = 3663²).

The spelling of 13742300 in words is "thirteen million, seven hundred forty-two thousand, three hundred".