16008 has 32 divisors (see below), whose sum is σ = 43200. Its totient is φ = 4928.
The previous prime is 16007. The next prime is 16033. The reversal of 16008 is 80061.
16008 is nontrivially palindromic in base 7.
16008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nialpdrome in base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16001) 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 7 ways as a sum of consecutive naturals, for example, 538 + ... + 566.
It is an arithmetic number, because the mean of its divisors is an integer number (1350).
216008 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 16008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600).
16008 is an abundant number, since it is smaller than the sum of its proper divisors (27192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16008 is a wasteful number, since it uses less digits than its factorization.
16008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 16008 is about 126.5227252315. The cubic root of 16008 is about 25.2026200350.
Adding to 16008 its reverse (80061), we get a palindrome (96069).
The spelling of 16008 in words is "sixteen thousand, eight".
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