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14016 = 26373
BaseRepresentation
bin11011011000000
3201020010
43123000
5422031
6144520
755602
oct33300
921203
1014016
11a592
128140
1364c2
145172
154246
hex36c0

14016 has 28 divisors (see below), whose sum is σ = 37592. Its totient is φ = 4608.

The previous prime is 14011. The next prime is 14029. The reversal of 14016 is 61041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13992 and 14010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011) by changing a digit.

14016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156 + ... + 228.

214016 is an apocalyptic number.

14016 is a gapful number since it is divisible by the number (16) 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 14016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796).

14016 is an abundant number, since it is smaller than the sum of its proper divisors (23576).

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

14016 is an equidigital number, since it uses as much as digits as its factorization.

14016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14016 is about 118.3891886956. The cubic root of 14016 is about 24.1106006406.

Adding to 14016 its sum of digits (12), we get a triangular number (14028 = T167).

Adding to 14016 its reverse (61041), we get a palindrome (75057).

The spelling of 14016 in words is "fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 14016