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16393 = 13297
BaseRepresentation
bin100000000001001
3211111011
410000021
51011033
6203521
765536
oct40011
924434
1016393
1111353
1295a1
137600
145d8d
154ccd
hex4009

16393 has 6 divisors (see below), whose sum is σ = 17934. Its totient is φ = 14976.

The previous prime is 16381. The next prime is 16411. The reversal of 16393 is 39361.

It can be divided in two parts, 163 and 93, that added together give a 8-th power (256 = 28).

It can be written as a sum of positive squares in 3 ways, for example, as 9 + 16384 = 3^2 + 128^2 .

It is not a de Polignac number, because 16393 - 25 = 16361 is a prime.

It is a Duffinian number.

16393 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (16333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (2989).

216393 is an apocalyptic number.

16393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16393 is a deficient number, since it is larger than the sum of its proper divisors (1541).

16393 is an equidigital number, since it uses as much as digits as its factorization.

16393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its digits is 486, while the sum is 22.

The square root of 16393 is about 128.0351514233. The cubic root of 16393 is about 25.4030665692.

The spelling of 16393 in words is "sixteen thousand, three hundred ninety-three".

Divisors: 1 13 97 169 1261 16393