Search a number
-
+
162312 = 2336763
BaseRepresentation
bin100111101000001000
322020122120
4213220020
520143222
63251240
71244133
oct475010
9266576
10162312
11100a47
1279b20
1358b57
144321a
153315c
hex27a08

162312 has 16 divisors (see below), whose sum is σ = 405840. Its totient is φ = 54096.

The previous prime is 162293. The next prime is 162343. The reversal of 162312 is 213261.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 162291 and 162300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3358 + ... + 3405.

It is an arithmetic number, because the mean of its divisors is an integer number (25365).

2162312 is an apocalyptic number.

162312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

162312 is an abundant number, since it is smaller than the sum of its proper divisors (243528).

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

162312 is a wasteful number, since it uses less digits than its factorization.

162312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 6768 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 162312 is about 402.8796346305. The cubic root of 162312 is about 54.5485917388.

Adding to 162312 its reverse (213261), we get a palindrome (375573).

It can be divided in two parts, 162 and 312, that added together give a palindrome (474).

The spelling of 162312 in words is "one hundred sixty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 6763 13526 20289 27052 40578 54104 81156 162312