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33142 = 273227
BaseRepresentation
bin1000000101110110
31200110111
420011312
52030032
6413234
7165424
oct100566
950414
1033142
112299a
121721a
1312115
14c114
159c47
hex8176

33142 has 8 divisors (see below), whose sum is σ = 50616. Its totient is φ = 16272.

The previous prime is 33119. The next prime is 33149. The reversal of 33142 is 24133.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33149) by changing a digit.

33142 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 3 ways as a sum of consecutive naturals, for example, 33 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (6327).

233142 is an apocalyptic number.

33142 is a deficient number, since it is larger than the sum of its proper divisors (17474).

33142 is a wasteful number, since it uses less digits than its factorization.

33142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its digits is 72, while the sum is 13.

The square root of 33142 is about 182.0494438333. The cubic root of 33142 is about 32.1212845254.

Adding to 33142 its reverse (24133), we get a palindrome (57275).

Subtracting from 33142 its reverse (24133), we obtain a palindrome (9009).

It can be divided in two parts, 331 and 42, that added together give a palindrome (373).

The spelling of 33142 in words is "thirty-three thousand, one hundred forty-two".

Divisors: 1 2 73 146 227 454 16571 33142