Search a number
16796 = 22131719
BaseRepresentation
bin100000110011100
3212001002
410012130
51014141
6205432
766653
oct40634
925032
1016796
111168a
129878
137850
14619a
154e9b
hex419c

16796 has 24 divisors (see below), whose sum is σ = 35280. Its totient is φ = 6912.

The previous prime is 16787. The next prime is 16811. The reversal of 16796 is 69761.

It is a happy number.

16796 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is the 10-th Catalan number.

It is a plaindrome in base 11.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

216796 is an apocalyptic number.

It is an amenable number.

16796 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (17640).

16796 is a wasteful number, since it uses less digits than its factorization.

16796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 51 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 16796 is about 129.5993827146. The cubic root of 16796 is about 25.6095504731.

The spelling of 16796 in words is "sixteen thousand, seven hundred ninety-six".