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14742 = 234713

14742 has 40 divisors (see below), whose sum is σ = 40656. Its totient is φ = 3888.

The previous prime is 14741. The next prime is 14747. The reversal of 14742 is 24741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 9 and base 14.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14741) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1128 + ... + 1140.

214742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328).

14742 is an abundant number, since it is smaller than the sum of its proper divisors (25914).

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

14742 is a wasteful number, since it uses less digits than its factorization.

14742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 25 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 14742 is about 121.4166380691. The cubic root of 14742 is about 24.5199060767.

Multiplying 14742 by its sum of digits (18), we get a triangular number (265356 = T728).

Subtracting 14742 from its reverse (24741), we obtain a palindrome (9999).

The spelling of 14742 in words is "fourteen thousand, seven hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 4914 7371 14742