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16854 = 23532
BaseRepresentation
bin100000111010110
3212010020
410013112
51014404
6210010
7100065
oct40726
925106
1016854
1111732
129906
137896
1461dc
154ed9
hex41d6

16854 has 12 divisors (see below), whose sum is σ = 34356. Its totient is φ = 5512.

The previous prime is 16843. The next prime is 16871. The reversal of 16854 is 45861.

It is a congruent number.

It is an unprimeable number.

16854 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 5 ways as a sum of consecutive naturals, for example, 292 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (2863).

216854 is an apocalyptic number.

16854 is an abundant number, since it is smaller than the sum of its proper divisors (17502).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17178).

16854 is an equidigital number, since it uses as much as digits as its factorization.

16854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 58 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 16854 is about 129.8229563675. The cubic root of 16854 is about 25.6389949332.

Multiplying 16854 by its sum of digits (24), we get a square (404496 = 6362).

It can be divided in two parts, 168 and 54, that added together give a palindrome (222).

The spelling of 16854 in words is "sixteen thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 53 106 159 318 2809 5618 8427 16854