16000 has 32 divisors (see below), whose sum is σ = 39780. Its totient is φ = 6400.

The previous prime is 15991. The next prime is 16001. The reversal of 16000 is 61.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 5184 = 104^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (16001) by changing a digit.

16000 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 3 ways as a sum of consecutive naturals, for example, 3198 + ... + 3202.

2^{16000} is an apocalyptic number.

16000 is a gapful number since it is divisible by the number (10) 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 16000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890).

16000 is an abundant number, since it is smaller than the sum of its proper divisors (23780).

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

16000 is an frugal number, since it uses more digits than its factorization.

16000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 16000 is about 126.4911064067. The cubic root of 16000 is about 25.1984209979.

The spelling of 16000 in words is "sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000

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