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31242 = 2341127
BaseRepresentation
bin111101000001010
31120212010
413220022
51444432
6400350
7160041
oct75012
946763
1031242
1121522
12160b6
13112b3
14b558
1593cc
hex7a0a

31242 has 16 divisors (see below), whose sum is σ = 64512. Its totient is φ = 10080.

The previous prime is 31237. The next prime is 31247. The reversal of 31242 is 24213.

It is an interprime number because it is at equal distance from previous prime (31237) and next prime (31247).

It is not an unprimeable number, because it can be changed into a prime (31247) by changing a digit.

31242 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 7 ways as a sum of consecutive naturals, for example, 183 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

231242 is an apocalyptic number.

31242 is an abundant number, since it is smaller than the sum of its proper divisors (33270).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

31242 is a wasteful number, since it uses less digits than its factorization.

31242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its digits is 48, while the sum is 12.

The square root of 31242 is about 176.7540664313. The cubic root of 31242 is about 31.4953381864.

Adding to 31242 its reverse (24213), we get a palindrome (55455).

The spelling of 31242 in words is "thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 41 82 123 127 246 254 381 762 5207 10414 15621 31242