Search a number
16383 = 343127
BaseRepresentation
bin11111111111111
3211110210
43333333
51011013
6203503
765523
oct37777
924423
1016383
1111344
129593
1375c3
145d83
154cc3
hex3fff

16383 has 8 divisors (see below), whose sum is σ = 22528. Its totient is φ = 10584.

The previous prime is 16381. The next prime is 16411. The reversal of 16383 is 38361.

Subtracting from 16383 its product of digits (432), we obtain a palindrome (15951).

16383 is nontrivially palindromic in base 2 and base 4.

It is a Cunningham number, because it is equal to 214-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 16383 - 21 = 16381 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

16383 is a nontrivial repdigit in base 2 and base 4.

It is a plaindrome in base 2, base 4, base 8, base 11 and base 16.

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16383.

It is not an unprimeable number, because it can be changed into a prime (16381) by changing a digit.

It is a nontrivial repunit in base 2.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (2816).

216383 is an apocalyptic number.

16383 is a deficient number, since it is larger than the sum of its proper divisors (6145).

16383 is a wasteful number, since it uses less digits than its factorization.

16383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its digits is 432, while the sum is 21.

The square root of 16383 is about 127.9960936904. The cubic root of 16383 is about 25.3979000889.

The spelling of 16383 in words is "sixteen thousand, three hundred eighty-three".

Divisors: 1 3 43 127 129 381 5461 16383