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20136 = 233839
BaseRepresentation
bin100111010101000
31000121210
410322220
51121021
6233120
7112464
oct47250
930553
1020136
1114146
12b7a0
13921c
1474a4
155e76
hex4ea8

20136 has 16 divisors (see below), whose sum is σ = 50400. Its totient is φ = 6704.

The previous prime is 20129. The next prime is 20143. The reversal of 20136 is 63102.

It is an interprime number because it is at equal distance from previous prime (20129) and next prime (20143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

20136 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, 396 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

220136 is an apocalyptic number.

It is an amenable number.

20136 is an abundant number, since it is smaller than the sum of its proper divisors (30264).

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 (25200).

20136 is a wasteful number, since it uses less digits than its factorization.

20136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20136 is about 141.9013742005. The cubic root of 20136 is about 27.2055640290.

Subtracting from 20136 its product of nonzero digits (36), we obtain a triangular number (20100 = T200).

Adding to 20136 its reverse (63102), we get a palindrome (83238).

The spelling of 20136 in words is "twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 839 1678 2517 3356 5034 6712 10068 20136