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141912 = 233573
BaseRepresentation
bin100010101001011000
321012200000
4202221120
514020122
63013000
71130511
oct425130
9235600
10141912
1197691
126a160
134c794
1439a08
152c0ac
hex22a58

141912 has 48 divisors (see below), whose sum is σ = 404040. Its totient is φ = 46656.

The previous prime is 141907. The next prime is 141917. The reversal of 141912 is 219141.

It is an interprime number because it is at equal distance from previous prime (141907) and next prime (141917).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (141917) by changing a digit.

141912 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, 1908 + ... + 1980.

2141912 is an apocalyptic number.

141912 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 141912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202020).

141912 is an abundant number, since it is smaller than the sum of its proper divisors (262128).

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

141912 is an equidigital number, since it uses as much as digits as its factorization.

141912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

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

The square root of 141912 is about 376.7120916562. The cubic root of 141912 is about 52.1602551206.

It can be divided in two parts, 14191 and 2, that multiplied together give a palindrome (28382).

The spelling of 141912 in words is "one hundred forty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 243 292 324 438 486 584 648 657 876 972 1314 1752 1944 1971 2628 3942 5256 5913 7884 11826 15768 17739 23652 35478 47304 70956 141912