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16656 = 243347
BaseRepresentation
bin100000100010000
3211211220
410010100
51013111
6205040
766363
oct40420
924756
1016656
1111572
129780
137773
1460da
154e06
hex4110

16656 has 20 divisors (see below), whose sum is σ = 43152. Its totient is φ = 5536.

The previous prime is 16651. The next prime is 16657. The reversal of 16656 is 65661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13 and base 16.

It is not an unprimeable number, because it can be changed into a prime (16651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 221.

216656 is an apocalyptic number.

16656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16656 is an abundant number, since it is smaller than the sum of its proper divisors (26496).

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 (21576).

16656 is a wasteful number, since it uses less digits than its factorization.

16656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 16656 is about 129.0581264392. The cubic root of 16656 is about 25.5381972720.

Subtracting from 16656 its product of digits (1080), we obtain a triangular number (15576 = T176).

It can be divided in two parts, 166 and 56, that added together give a palindrome (222).

The spelling of 16656 in words is "sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 347 694 1041 1388 2082 2776 4164 5552 8328 16656