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36018 = 2332329
BaseRepresentation
bin1000110010110010
31211102000
420302302
52123033
6434430
7210003
oct106262
954360
1036018
1125074
1218a16
1313518
14d1aa
15aa13
hex8cb2

36018 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 11088.

The previous prime is 36017. The next prime is 36037. The reversal of 36018 is 81063.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1228 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

236018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

36018 is an abundant number, since it is smaller than the sum of its proper divisors (50382).

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

36018 is a wasteful number, since it uses less digits than its factorization.

36018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36018 is about 189.7840878472. The cubic root of 36018 is about 33.0247747841.

It can be divided in two parts, 360 and 18, that added together give a triangular number (378 = T27).

The spelling of 36018 in words is "thirty-six thousand, eighteen".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 207 261 414 522 621 667 783 1242 1334 1566 2001 4002 6003 12006 18009 36018