13742080 has 104 divisors (see below), whose sum is σ = 36564624. Its totient is φ = 4915200.

The previous prime is 13742051. The next prime is 13742089. The reversal of 13742080 is 8024731.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225250 + ... + 225310.

Almost surely, 2^13742080 is an apocalyptic number.

13742080 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 13742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18282312).

13742080 is an abundant number, since it is smaller than the sum of its proper divisors (22822544).

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

13742080 is an equidigital number, since it uses as much as digits as its factorization.

13742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13742080 is about 3707.0311571391. The cubic root of 13742080 is about 239.5249863881.

The spelling of 13742080 in words is "thirteen million, seven hundred forty-two thousand, eighty".