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31072 = 25971
BaseRepresentation
bin111100101100000
31120121211
413211200
51443242
6355504
7156406
oct74540
946554
1031072
1121388
1215b94
13111b2
14b476
159317
hex7960

31072 has 12 divisors (see below), whose sum is σ = 61236. Its totient is φ = 15520.

The previous prime is 31069. The next prime is 31079. The reversal of 31072 is 27013.

Adding to 31072 its reverse (27013), we get a palindrome (58085).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31079) 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 as a sum of consecutive naturals, namely, 454 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (5103).

231072 is an apocalyptic number.

31072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31072 is a deficient number, since it is larger than the sum of its proper divisors (30164).

31072 is an equidigital number, since it uses as much as digits as its factorization.

31072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 31072 is about 176.2725162922. The cubic root of 31072 is about 31.4381080858.

The spelling of 31072 in words is "thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 971 1942 3884 7768 15536 31072