Search a number
-
+
936 = 233213
BaseRepresentation
bin1110101000
31021200
432220
512221
64200
72505
oct1650
91250
10936
11781
12660
13570
144ac
15426
hex3a8

936 has 24 divisors (see below), whose sum is σ = 2730. Its totient is φ = 288.

The previous prime is 929. The next prime is 937. The reversal of 936 is 639.

It can be divided in two parts, 93 and 6, that added together give a palindrome (99).

936 is nontrivially palindromic in base 5.

936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 900 + 36 = 30^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is one of the 548 Lynch-Bell numbers.

Its product of digits (162) is a multiple of the sum of its prime divisors (18).

It is a plaindrome in base 14.

It is a nialpdrome in base 4, base 6 and base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 936.

It is not an unprimeable number, because it can be changed into a prime (937) by changing a digit.

936 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66 + ... + 78.

936 is the 18-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365).

936 is an abundant number, since it is smaller than the sum of its proper divisors (1794).

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

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

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

The sum of its prime factors is 25 (or 18 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 936 is about 30.5941170816. The cubic root of 936 is about 9.7819464930.

The spelling of 936 in words is "nine hundred thirty-six", and thus it is an aban number and an oban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936