Search a number
8016 = 243167
BaseRepresentation
bin1111101010000
3101222220
41331100
5224031
6101040
732241
oct17520
911886
108016
116028
124780
133858
142cc8
152596
hex1f50

8016 has 20 divisors (see below), whose sum is σ = 20832. Its totient is φ = 2656.

The previous prime is 8011. The next prime is 8017. The reversal of 8016 is 6108.

Subtracting from 8016 its sum of digits (15), we obtain a triangular number (8001 = T126).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7986 and 8004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 36 + ... + 131.

28016 is an apocalyptic number.

It is an amenable number.

8016 is an abundant number, since it is smaller than the sum of its proper divisors (12816).

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 (10416).

8016 is a wasteful number, since it uses less digits than its factorization.

8016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8016 is about 89.5321171424. The cubic root of 8016 is about 20.0133244543.

The spelling of 8016 in words is "eight thousand, sixteen".