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16056 = 2332223
BaseRepresentation
bin11111010111000
3211000200
43322320
51003211
6202200
764545
oct37270
924020
1016056
1111077
129360
137401
145bcc
154b56
hex3eb8

16056 has 24 divisors (see below), whose sum is σ = 43680. Its totient is φ = 5328.

The previous prime is 16033. The next prime is 16057. The reversal of 16056 is 65061.

Subtracting from 16056 its product of nonzero digits (180), we obtain a square (15876 = 1262).

It can be divided in two parts, 160 and 56, that added together give a cube (216 = 63).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16056.

It is not an unprimeable number, because it can be changed into a prime (16057) by changing a digit.

16056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

216056 is an apocalyptic number.

It is an amenable number.

16056 is an abundant number, since it is smaller than the sum of its proper divisors (27624).

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

16056 is a wasteful number, since it uses less digits than its factorization.

16056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 16056 is about 126.7122724917. The cubic root of 16056 is about 25.2277849244.

The spelling of 16056 in words is "sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 4014 5352 8028 16056