13742310 has 32 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 3619808.

The previous prime is 13742297. The next prime is 13742347. The reversal of 13742310 is 1324731.

13742310 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 a super-2 number, since 2×13742310² = 377702168272200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270 + ... + 5249.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 2^13742310 is an apocalyptic number.

13742310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13742310 is an abundant number, since it is smaller than the sum of its proper divisors (19642650).

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

13742310 is a wasteful number, since it uses less digits than its factorization.

13742310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13742310 is about 3707.0621791386. The cubic root of 13742310 is about 239.5263226837.

It can be divided in two parts, 1374 and 2310, that multiplied together give a triangular number (3173940 = T₂₅₁₉).

The spelling of 13742310 in words is "thirteen million, seven hundred forty-two thousand, three hundred ten".