Search a number
25716 = 2232143
BaseRepresentation
bin110010001110100
31022021110
412101310
51310331
6315020
7134655
oct62164
938243
1025716
1118359
1212a70
13b922
14952c
157946
hex6474

25716 has 12 divisors (see below), whose sum is σ = 60032. Its totient is φ = 8568.

The previous prime is 25703. The next prime is 25717. The reversal of 25716 is 61752.

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

It is a super-2 number, since 2×257162 = 1322625312, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 25692 and 25701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25717) by changing a digit.

25716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1060 + ... + 1083.

225716 is an apocalyptic number.

It is an amenable number.

25716 is an abundant number, since it is smaller than the sum of its proper divisors (34316).

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 (30016).

25716 is a wasteful number, since it uses less digits than its factorization.

25716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2148 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 25716 is about 160.3620902832. The cubic root of 25716 is about 29.5167003017.

It can be divided in two parts, 25 and 716, that added together give a triangular number (741 = T38).

The spelling of 25716 in words is "twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 2143 4286 6429 8572 12858 25716