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16002 = 2327127
BaseRepresentation
bin11111010000010
3210221200
43322002
51003002
6202030
764440
oct37202
923850
1016002
1111028
129316
13738c
145b90
154b1c
hex3e82

16002 has 24 divisors (see below), whose sum is σ = 39936. Its totient is φ = 4536.

The previous prime is 16001. The next prime is 16007. The reversal of 16002 is 20061.

Adding to 16002 its reverse (20061), we get a palindrome (36063).

16002 = 92 + 102 + ... + 362.

16002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16002.

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 11 ways as a sum of consecutive naturals, for example, 63 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1664).

216002 is an apocalyptic number.

It is a pronic number, being equal to 126×127.

It is a practical number, because each smaller number is the sum of distinct divisors of 16002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968).

16002 is an abundant number, since it is smaller than the sum of its proper divisors (23934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16002 is a wasteful number, since it uses less digits than its factorization.

16002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 16002 is about 126.4990118538. The cubic root of 16002 is about 25.1994708884.

The spelling of 16002 in words is "sixteen thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 16002