Search a number
-
+
162126 = 2329007
BaseRepresentation
bin100111100101001110
322020101200
4213211032
520142001
63250330
71243446
oct474516
9266350
10162126
11100898
12799a6
1358a43
1443126
1533086
hex2794e

162126 has 12 divisors (see below), whose sum is σ = 351312. Its totient is φ = 54036.

The previous prime is 162119. The next prime is 162143. The reversal of 162126 is 621261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 9007 = 162126 / (1 + 6 + 2 + 1 + 2 + 6).

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 = 162099 and 162108.

It is a congruent number.

It is an unprimeable number.

162126 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 5 ways as a sum of consecutive naturals, for example, 4486 + ... + 4521.

It is an arithmetic number, because the mean of its divisors is an integer number (29276).

2162126 is an apocalyptic number.

162126 is an abundant number, since it is smaller than the sum of its proper divisors (189186).

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

162126 is a wasteful number, since it uses less digits than its factorization.

162126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015 (or 9012 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 162126 is about 402.6487302848. The cubic root of 162126 is about 54.5277472826.

Adding to 162126 its reverse (621261), we get a palindrome (783387).

The spelling of 162126 in words is "one hundred sixty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 9007 18014 27021 54042 81063 162126