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11984 = 247107
BaseRepresentation
bin10111011010000
3121102212
42323100
5340414
6131252
746640
oct27320
917385
1011984
119005
126b28
1355bb
144520
15383e
hex2ed0

11984 has 20 divisors (see below), whose sum is σ = 26784. Its totient is φ = 5088.

The previous prime is 11981. The next prime is 11987. The reversal of 11984 is 48911.

11984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11981) and next prime (11987).

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a plaindrome 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 (11981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 59 + ... + 165.

211984 is an apocalyptic number.

11984 is a gapful number since it is divisible by the number (14) 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 11984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392).

11984 is an abundant number, since it is smaller than the sum of its proper divisors (14800).

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

11984 is a wasteful number, since it uses less digits than its factorization.

11984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 11984 is about 109.4714574672. The cubic root of 11984 is about 22.8841050877.

The spelling of 11984 in words is "eleven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1712 2996 5992 11984