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7116 = 223593
BaseRepresentation
bin1101111001100
3100202120
41233030
5211431
652540
726514
oct15714
910676
107116
11538a
124150
133315
142844
152196
hex1bcc

7116 has 12 divisors (see below), whose sum is σ = 16632. Its totient is φ = 2368.

The previous prime is 7109. The next prime is 7121. The reversal of 7116 is 6117.

7116 = 242 + 252 + ... + 322.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 7095 and 7104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7116.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 285 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

27116 is an apocalyptic number.

It is an amenable number.

7116 is an abundant number, since it is smaller than the sum of its proper divisors (9516).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316).

7116 is a wasteful number, since it uses less digits than its factorization.

7116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

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

The square root of 7116 is about 84.3563868359. The cubic root of 7116 is about 19.2344001349.

Subtracting from 7116 its reverse (6117), we obtain a palindrome (999).

It can be divided in two parts, 711 and 6, that added together give a palindrome (717).

The spelling of 7116 in words is "seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 593 1186 1779 2372 3558 7116