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16008 = 2332329
BaseRepresentation
bin11111010001000
3210221220
43322020
51003013
6202040
764446
oct37210
923856
1016008
1111033
129320
137395
145b96
154b23
hex3e88

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".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 16008