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36168 = 23311137
BaseRepresentation
bin1000110101001000
31211121120
420311020
52124133
6435240
7210306
oct106510
954546
1036168
11251a0
1218b20
1313602
14d276
15aab3
hex8d48

36168 has 32 divisors (see below), whose sum is σ = 99360. Its totient is φ = 10880.

The previous prime is 36161. The next prime is 36187. The reversal of 36168 is 86163.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (3105).

236168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49680).

36168 is an abundant number, since it is smaller than the sum of its proper divisors (63192).

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

36168 is a wasteful number, since it uses less digits than its factorization.

36168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 36168 is about 190.1788631789. The cubic root of 36168 is about 33.0705561097.

The spelling of 36168 in words is "thirty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 264 274 411 548 822 1096 1507 1644 3014 3288 4521 6028 9042 12056 18084 36168