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1716 = 2231113
BaseRepresentation
bin11010110100
32100120
4122310
523331
611540
75001
oct3264
92316
101716
111320
12bb0
13a20
148a8
15796
hex6b4

1716 has 24 divisors (see below), whose sum is σ = 4704. Its totient is φ = 480.

The previous prime is 1709. The next prime is 1721. The reversal of 1716 is 6171.

1716 is nontrivially palindromic in base 14.

1716 is a nontrivial binomial coefficient, being equal to C(13, 6).

It is a house number.

1716 is an undulating number in base 14.

It is a nialpdrome in base 12 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1695 and 1704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1716.

It is an unprimeable number.

1716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (196).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352).

1716 is an abundant number, since it is smaller than the sum of its proper divisors (2988).

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

1716 is a wasteful number, since it uses less digits than its factorization.

1716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 29 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 1716 is about 41.4246303544. The cubic root of 1716 is about 11.9721576726.

The spelling of 1716 in words is "one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716