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36054 = 2322003
BaseRepresentation
bin1000110011010110
31211110100
420303112
52123204
6434530
7210054
oct106326
954410
1036054
11250a7
1218a46
1313545
14d1d4
15aa39
hex8cd6

36054 has 12 divisors (see below), whose sum is σ = 78156. Its totient is φ = 12012.

The previous prime is 36037. The next prime is 36061. The reversal of 36054 is 45063.

It is a happy number.

36054 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2003 = 36054 / (3 + 6 + 0 + 5 + 4).

36054 is a modest number, since divided by 54 gives 36 as remainder.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 984 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (6513).

236054 is an apocalyptic number.

36054 is an abundant number, since it is smaller than the sum of its proper divisors (42102).

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

36054 is a wasteful number, since it uses less digits than its factorization.

36054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36054 is about 189.8789087814. The cubic root of 36054 is about 33.0357738772.

Subtracting 36054 from its reverse (45063), we obtain a palindrome (9009).

It can be divided in two parts, 360 and 54, that added together give a palindrome (414).

The spelling of 36054 in words is "thirty-six thousand, fifty-four", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 2003 4006 6009 12018 18027 36054