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36009 = 324001
BaseRepresentation
bin1000110010101001
31211101200
420302221
52123014
6434413
7206661
oct106251
954350
1036009
1125066
1218a09
131350c
14d1a1
15aa09
hex8ca9

36009 has 6 divisors (see below), whose sum is σ = 52026. Its totient is φ = 24000.

The previous prime is 36007. The next prime is 36011. The reversal of 36009 is 90063.

It can be divided in two parts, 3600 and 9, that multiplied together give a square (32400 = 1802).

It is an interprime number because it is at equal distance from previous prime (36007) and next prime (36011).

It can be written as a sum of positive squares in only one way, i.e., 21609 + 14400 = 147^2 + 120^2 .

It is not a de Polignac number, because 36009 - 21 = 36007 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 35982 and 36000.

It is not an unprimeable number, because it can be changed into a prime (36007) 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 5 ways as a sum of consecutive naturals, for example, 1992 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (8671).

236009 is an apocalyptic number.

It is an amenable number.

36009 is a deficient number, since it is larger than the sum of its proper divisors (16017).

36009 is a wasteful number, since it uses less digits than its factorization.

36009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4004 counting only the distinct ones).

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

The square root of 36009 is about 189.7603752104. The cubic root of 36009 is about 33.0220238657.

The spelling of 36009 in words is "thirty-six thousand, nine".

Divisors: 1 3 9 4001 12003 36009