Search a number
-
+
23716 = 2272112

23716 has 27 divisors (see below), whose sum is σ = 53067. Its totient is φ = 9240.

The previous prime is 23689. The next prime is 23719. The reversal of 23716 is 61732.

23716 = T35 + T36 + ... + T56.

The square root of 23716 is 154.

It is a perfect power (a square), and thus also a powerful number.

23716 is nontrivially palindromic in base 3.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 23693 and 23702.

It is not an unprimeable number, because it can be changed into a prime (23719) 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 8 ways as a sum of consecutive naturals, for example, 2151 + ... + 2161.

223716 is an apocalyptic number.

23716 is the 154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23716

23716 is an abundant number, since it is smaller than the sum of its proper divisors (29351).

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

23716 is a wasteful number, since it uses less digits than its factorization.

23716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 20 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The cubic root of 23716 is about 28.7307621773.

It can be divided in two parts, 237 and 16, that added together give a triangular number (253 = T22).

The spelling of 23716 in words is "twenty-three thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 23716