Search a number
-
+
43116 = 2233593
BaseRepresentation
bin1010100001101100
32012010220
422201230
52334431
6531340
7236463
oct124154
965126
1043116
112a437
1220b50
1316818
14119da
15cb96
hexa86c

43116 has 12 divisors (see below), whose sum is σ = 100632. Its totient is φ = 14368.

The previous prime is 43103. The next prime is 43117. The reversal of 43116 is 61134.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 43095 and 43104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 43116.

It is not an unprimeable number, because it can be changed into a prime (43117) 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 3 ways as a sum of consecutive naturals, for example, 1785 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (8386).

243116 is an apocalyptic number.

It is an amenable number.

43116 is an abundant number, since it is smaller than the sum of its proper divisors (57516).

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 (50316).

43116 is a wasteful number, since it uses less digits than its factorization.

43116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3598 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 43116 is about 207.6439259887. The cubic root of 43116 is about 35.0654557420.

The spelling of 43116 in words is "forty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 3593 7186 10779 14372 21558 43116