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BaseRepresentation
bin100001000000000
3212011210
410020000
51020041
6210120
7100155
oct41000
925153
1016896
1111770
129940
1378c9
14622c
155016
hex4200

16896 has 40 divisors (see below), whose sum is σ = 49104. Its totient is φ = 5120.

The previous prime is 16889. The next prime is 16901. The reversal of 16896 is 69861.

Its product of digits (2592) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 8, base 12 and base 16.

It is an unprimeable number.

16896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1531 + ... + 1541.

216896 is an apocalyptic number.

16896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552).

16896 is an abundant number, since it is smaller than the sum of its proper divisors (32208).

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

16896 is an equidigital number, since it uses as much as digits as its factorization.

16896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 16 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 16896 is about 129.9846144742. The cubic root of 16896 is about 25.6602746400.

The spelling of 16896 in words is "sixteen thousand, eight hundred ninety-six".