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31272 = 2331303
BaseRepresentation
bin111101000101000
31120220020
413220220
52000042
6400440
7160113
oct75050
946806
1031272
112154a
1216120
1311307
14b57a
1593ec
hex7a28

31272 has 16 divisors (see below), whose sum is σ = 78240. Its totient is φ = 10416.

The previous prime is 31271. The next prime is 31277. The reversal of 31272 is 27213.

Adding to 31272 its reverse (27213), we get a palindrome (58485).

It can be divided in two parts, 31 and 272, that added together give a palindrome (303).

It is not an unprimeable number, because it can be changed into a prime (31271) by changing a digit.

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, 628 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (4890).

231272 is an apocalyptic number.

It is an amenable number.

31272 is an abundant number, since it is smaller than the sum of its proper divisors (46968).

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 (39120).

31272 is a wasteful number, since it uses less digits than its factorization.

31272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 31272 is about 176.8389097456. The cubic root of 31272 is about 31.5054160503.

The spelling of 31272 in words is "thirty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 1303 2606 3909 5212 7818 10424 15636 31272