Search a number
-
+
36636 = 2234371
BaseRepresentation
bin1000111100011100
31212020220
420330130
52133021
6441340
7211545
oct107434
955226
1036636
1125586
1219250
13138a2
14d4cc
15acc6
hex8f1c

36636 has 24 divisors (see below), whose sum is σ = 88704. Its totient is φ = 11760.

The previous prime is 36629. The next prime is 36637. The reversal of 36636 is 63663.

36636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36637) by changing a digit.

36636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

236636 is an apocalyptic number.

It is an amenable number.

36636 is an abundant number, since it is smaller than the sum of its proper divisors (52068).

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 (44352).

36636 is a wasteful number, since it uses less digits than its factorization.

36636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 36636 is about 191.4053290794. The cubic root of 36636 is about 33.2125853481.

The spelling of 36636 in words is "thirty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 43 71 86 129 142 172 213 258 284 426 516 852 3053 6106 9159 12212 18318 36636