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16182 = 2322931
BaseRepresentation
bin11111100110110
3211012100
43330312
51004212
6202530
765115
oct37466
924170
1016182
1111181
129446
13749a
145c7c
154bdc
hex3f36

16182 has 24 divisors (see below), whose sum is σ = 37440. Its totient is φ = 5040.

The previous prime is 16141. The next prime is 16183. The reversal of 16182 is 28161.

It can be divided in two parts, 161 and 82, that added together give a 5-th power (243 = 35).

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 (16183) by changing a digit.

16182 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

216182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720).

16182 is an abundant number, since it is smaller than the sum of its proper divisors (21258).

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

16182 is a wasteful number, since it uses less digits than its factorization.

16182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 65 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 16182 is about 127.2084902827. The cubic root of 16182 is about 25.2936050119.

The spelling of 16182 in words is "sixteen thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2697 5394 8091 16182