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16893 = 321877
BaseRepresentation
bin100000111111101
3212011200
410013331
51020033
6210113
7100152
oct40775
925150
1016893
1111768
129939
1378c6
146229
155013
hex41fd

16893 has 6 divisors (see below), whose sum is σ = 24414. Its totient is φ = 11256.

The previous prime is 16889. The next prime is 16901. The reversal of 16893 is 39861.

16893 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15129 + 1764 = 123^2 + 42^2 .

It is not a de Polignac number, because 16893 - 22 = 16889 is a prime.

16893 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 930 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (4069).

216893 is an apocalyptic number.

It is an amenable number.

16893 is a deficient number, since it is larger than the sum of its proper divisors (7521).

16893 is a wasteful number, since it uses less digits than its factorization.

16893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1880 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 16893 is about 129.9730741346. The cubic root of 16893 is about 25.6587558312.

It can be divided in two parts, 16 and 893, that added together give a palindrome (909).

The spelling of 16893 in words is "sixteen thousand, eight hundred ninety-three".

Divisors: 1 3 9 1877 5631 16893