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180126 = 23210007
BaseRepresentation
bin101011111110011110
3100011002100
4223332132
521231001
63505530
71350102
oct537636
9304070
10180126
11113371
12882a6
1363cab
1449902
1538586
hex2bf9e

180126 has 12 divisors (see below), whose sum is σ = 390312. Its totient is φ = 60036.

The previous prime is 180097. The next prime is 180137. The reversal of 180126 is 621081.

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: 10007 = 180126 / (1 + 8 + 0 + 1 + 2 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 180099 and 180108.

It is a congruent number.

It is an unprimeable number.

180126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4986 + ... + 5021.

It is an arithmetic number, because the mean of its divisors is an integer number (32526).

2180126 is an apocalyptic number.

180126 is an abundant number, since it is smaller than the sum of its proper divisors (210186).

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

180126 is a wasteful number, since it uses less digits than its factorization.

180126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 180126 is about 424.4125351589. The cubic root of 180126 is about 56.4753331644.

The spelling of 180126 in words is "one hundred eighty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 10007 20014 30021 60042 90063 180126