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13986 = 233737
BaseRepresentation
bin11011010100010
3201012000
43122202
5421421
6144430
755530
oct33242
921160
1013986
11a565
128116
13649b
145150
154226
hex36a2

13986 has 32 divisors (see below), whose sum is σ = 36480. Its totient is φ = 3888.

The previous prime is 13967. The next prime is 13997. The reversal of 13986 is 68931.

13986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 7.

It is an unprimeable number.

13986 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 360 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

213986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240).

13986 is an abundant number, since it is smaller than the sum of its proper divisors (22494).

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

13986 is a wasteful number, since it uses less digits than its factorization.

13986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13986 is about 118.2624200666. The cubic root of 13986 is about 24.0933861548.

Subtracting 13986 from its reverse (68931), we obtain a palindrome (54945).

It can be divided in two parts, 139 and 86, that added together give a square (225 = 152).

The spelling of 13986 in words is "thirteen thousand, nine hundred eighty-six".