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131716 = 221317149
BaseRepresentation
bin100000001010000100
320200200101
4200022010
513203331
62453444
71056004
oct401204
9220611
10131716
118aa62
1264284
1347c50
1436004
1529061
hex20284

131716 has 24 divisors (see below), whose sum is σ = 264600. Its totient is φ = 56832.

The previous prime is 131713. The next prime is 131731. The reversal of 131716 is 617131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 129600 = 46^2 + 360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131693 and 131702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810 + ... + 958.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2131716 is an apocalyptic number.

It is an amenable number.

131716 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

131716 is a wasteful number, since it uses less digits than its factorization.

131716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its digits is 126, while the sum is 19.

The square root of 131716 is about 362.9269899029. The cubic root of 131716 is about 50.8798916509.

Adding to 131716 its reverse (617131), we get a palindrome (748847).

The spelling of 131716 in words is "one hundred thirty-one thousand, seven hundred sixteen".

Divisors: 1 2 4 13 17 26 34 52 68 149 221 298 442 596 884 1937 2533 3874 5066 7748 10132 32929 65858 131716