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36012 = 2233001
BaseRepresentation
bin1000110010101100
31211101210
420302230
52123022
6434420
7206664
oct106254
954353
1036012
1125069
1218a10
1313512
14d1a4
15aa0c
hex8cac

36012 has 12 divisors (see below), whose sum is σ = 84056. Its totient is φ = 12000.

The previous prime is 36011. The next prime is 36013. The reversal of 36012 is 21063.

It is an interprime number because it is at equal distance from previous prime (36011) and next prime (36013).

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

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 3001 = 36012 / (3 + 6 + 0 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (36011) 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, 1489 + ... + 1512.

236012 is an apocalyptic number.

It is an amenable number.

36012 is an abundant number, since it is smaller than the sum of its proper divisors (48044).

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 (42028).

36012 is a wasteful number, since it uses less digits than its factorization.

36012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3006 counting only the distinct ones).

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

The square root of 36012 is about 189.7682797519. The cubic root of 36012 is about 33.0229408894.

Adding to 36012 its reverse (21063), we get a palindrome (57075).

The spelling of 36012 in words is "thirty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 3001 6002 9003 12004 18006 36012