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14196 = 2237132

14196 has 36 divisors (see below), whose sum is σ = 40992. Its totient is φ = 3744.

The previous prime is 14177. The next prime is 14197. The reversal of 14196 is 69141.

14196 is a nontrivial binomial coefficient, being equal to C(169, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1086 + ... + 1098.

214196 is an apocalyptic number.

14196 is the 168-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20496).

14196 is an abundant number, since it is smaller than the sum of its proper divisors (26796).

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

14196 is a wasteful number, since it uses less digits than its factorization.

14196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 14196 is about 119.1469680689. The cubic root of 14196 is about 24.2133751166.

Multiplying 14196 by its sum of digits (21), we get a square (298116 = 5462).

14196 divided by its sum of digits (21) gives a palindrome (676).

Subtracting 14196 from its reverse (69141), we obtain a palindrome (54945).

It can be divided in two parts, 14 and 196, that multiplied together give a cube (2744 = 143).

The spelling of 14196 in words is "fourteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14196