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71313 = 3112161
BaseRepresentation
bin10001011010010001
310121211020
4101122101
54240223
61310053
7414624
oct213221
9117736
1071313
1149640
1235329
13265c8
141bdbb
15161e3
hex11691

71313 has 8 divisors (see below), whose sum is σ = 103776. Its totient is φ = 43200.

The previous prime is 71293. The next prime is 71317. The reversal of 71313 is 31317.

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

It is not a de Polignac number, because 71313 - 26 = 71249 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 71292 and 71301.

It is not an unprimeable number, because it can be changed into a prime (71317) 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 7 ways as a sum of consecutive naturals, for example, 1048 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (12972).

271313 is an apocalyptic number.

It is an amenable number.

71313 is a deficient number, since it is larger than the sum of its proper divisors (32463).

71313 is a wasteful number, since it uses less digits than its factorization.

71313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175.

The product of its digits is 63, while the sum is 15.

The square root of 71313 is about 267.0449400382. The cubic root of 71313 is about 41.4689369329.

The spelling of 71313 in words is "seventy-one thousand, three hundred thirteen".

Divisors: 1 3 11 33 2161 6483 23771 71313