Search a number
-
+
163592 = 23112132
BaseRepresentation
bin100111111100001000
322022101222
4213330020
520213332
63301212
71250642
oct477410
9268358
10163592
11101a00
127a808
1359600
1443892
1533712
hex27f08

163592 has 36 divisors (see below), whose sum is σ = 365085. Its totient is φ = 68640.

The previous prime is 163573. The next prime is 163601. The reversal of 163592 is 295361.

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.

163592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 139876 + 23716 = 374^2 + 154^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=286.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a Duffinian number.

Its product of digits (1620) is a multiple of the sum of its prime factors (54).

It is an unprimeable number.

163592 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 8 ways as a sum of consecutive naturals, for example, 12578 + ... + 12590.

2163592 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 163592

163592 is an abundant number, since it is smaller than the sum of its proper divisors (201493).

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

163592 is a wasteful number, since it uses less digits than its factorization.

163592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 26 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 163592 is about 404.4650788387. The cubic root of 163592 is about 54.6916073650.

Subtracting 163592 from its reverse (295361), we obtain a square (131769 = 3632).

It can be divided in two parts, 16359 and 2, that added together give a palindrome (16361).

The spelling of 163592 in words is "one hundred sixty-three thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 484 572 676 968 1144 1352 1573 1859 3146 3718 6292 7436 12584 14872 20449 40898 81796 163592