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BaseRepresentation
bin101000000001101000
322022220000
4220001220
520221234
63303000
71251654
oct500150
9268800
10163944
111021a0
127aa60
1359811
1443a64
1533899
hex28068

163944 has 80 divisors (see below), whose sum is σ = 522720. Its totient is φ = 47520.

The previous prime is 163927. The next prime is 163973. The reversal of 163944 is 449361.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is an unprimeable number.

163944 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 (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7117 + ... + 7139.

It is an arithmetic number, because the mean of its divisors is an integer number (6534).

163944 is a Friedman number, since it can be written as 414*396, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 396414 (with its own digits).

2163944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261360).

163944 is an abundant number, since it is smaller than the sum of its proper divisors (358776).

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

163944 is a wasteful number, since it uses less digits than its factorization.

163944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 163944 is about 404.8999876513. The cubic root of 163944 is about 54.7308058069.

The spelling of 163944 in words is "one hundred sixty-three thousand, nine hundred forty-four".