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141192 = 23323753
BaseRepresentation
bin100010011110001000
321011200100
4202132020
514004232
63005400
71125432
oct423610
9234610
10141192
1197097
1269860
134c35c
1439652
152bc7c
hex22788

141192 has 48 divisors (see below), whose sum is σ = 400140. Its totient is φ = 44928.

The previous prime is 141181. The next prime is 141199. The reversal of 141192 is 291141.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 15876 = 354^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (141199) by changing a digit.

141192 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2638 + ... + 2690.

2141192 is an apocalyptic number.

141192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200070).

141192 is an abundant number, since it is smaller than the sum of its proper divisors (258948).

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

141192 is a wasteful number, since it uses less digits than its factorization.

141192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 141192 is about 375.7552394844. The cubic root of 141192 is about 52.0718926693.

It can be divided in two parts, 141 and 192, that multiplied together give a palindrome (27072).

The spelling of 141192 in words is "one hundred forty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 954 1272 1332 1908 1961 2664 3816 3922 5883 7844 11766 15688 17649 23532 35298 47064 70596 141192