13742460 has 120 divisors (see below), whose sum is σ = 45738000. Its totient is φ = 3442176.

The previous prime is 13742459. The next prime is 13742467. The reversal of 13742460 is 6424731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742467) 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 39 ways as a sum of consecutive naturals, for example, 27291 + ... + 27789.

It is an arithmetic number, because the mean of its divisors is an integer number (381150).

Almost surely, 2^13742460 is an apocalyptic number.

13742460 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 13742460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869000).

13742460 is an abundant number, since it is smaller than the sum of its proper divisors (31995540).

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

13742460 is a wasteful number, since it uses less digits than its factorization.

13742460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13742460 is about 3707.0824107376. The cubic root of 13742460 is about 239.5271941727.

The spelling of 13742460 in words is "thirteen million, seven hundred forty-two thousand, four hundred sixty".