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71631 = 337379
BaseRepresentation
bin10001011111001111
310122021000
4101133033
54243011
61311343
7415560
oct213717
9118230
1071631
11498aa
1235553
13267b1
141c167
1516356
hex117cf

71631 has 16 divisors (see below), whose sum is σ = 121600. Its totient is φ = 40824.

The previous prime is 71597. The next prime is 71633. The reversal of 71631 is 13617.

71631 is nontrivially palindromic in base 12.

71631 is a nontrivial binomial coefficient, being equal to C(379, 2).

It is not a de Polignac number, because 71631 - 27 = 71503 is a prime.

It is a super-2 number, since 2×716312 = 10262000322, which contains 22 as substring.

It is a Duffinian number.

71631 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (7600).

271631 is an apocalyptic number.

71631 is the 378-th triangular number.

71631 is a deficient number, since it is larger than the sum of its proper divisors (49969).

71631 is a wasteful number, since it uses less digits than its factorization.

71631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 71631 is about 267.6396831563. The cubic root of 71631 is about 41.5304851731.

It can be divided in two parts, 716 and 31, that added together give a palindrome (747).

The spelling of 71631 in words is "seventy-one thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 379 1137 2653 3411 7959 10233 23877 71631