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163268 = 227417
BaseRepresentation
bin100111110111000100
322021221222
4213313010
520211033
63255512
71250000
oct476704
9267858
10163268
11101736
127a598
1359411
1443700
1533598
hex27dc4

163268 has 30 divisors (see below), whose sum is σ = 352926. Its totient is φ = 65856.

The previous prime is 163259. The next prime is 163307. The reversal of 163268 is 862361.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 9604 = 392^2 + 98^2 .

It is an unprimeable number.

163268 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 9 ways as a sum of consecutive naturals, for example, 9596 + ... + 9612.

163268 is a Friedman number, since it can be written as (6^6-8)*(3+1/2), using all its digits and the basic arithmetic operations.

2163268 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 163268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176463).

163268 is an abundant number, since it is smaller than the sum of its proper divisors (189658).

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

163268 is an equidigital number, since it uses as much as digits as its factorization.

163268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 26 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 163268 is about 404.0643513105. The cubic root of 163268 is about 54.6554772525.

The spelling of 163268 in words is "one hundred sixty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 2401 3332 4802 5831 9604 11662 23324 40817 81634 163268