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163872 = 2532569
BaseRepresentation
bin101000000000100000
322022210100
4220000200
520220442
63302400
71251522
oct500040
9268710
10163872
11102135
127aa00
1359787
1443a12
153384c
hex28020

163872 has 36 divisors (see below), whose sum is σ = 466830. Its totient is φ = 54528.

The previous prime is 163871. The next prime is 163883. The reversal of 163872 is 278361.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 7056 = 396^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (163871) 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 5 ways as a sum of consecutive naturals, for example, 4 + ... + 572.

2163872 is an apocalyptic number.

163872 is a gapful number since it is divisible by the number (12) 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 163872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233415).

163872 is an abundant number, since it is smaller than the sum of its proper divisors (302958).

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

163872 is a wasteful number, since it uses less digits than its factorization.

163872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 163872 is about 404.8110670424. The cubic root of 163872 is about 54.7227925116.

It can be divided in two parts, 163 and 872, that added together give a triangular number (1035 = T45).

The spelling of 163872 in words is "one hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 18208 20484 27312 40968 54624 81936 163872