Search a number
-
+
206184 = 23311271
BaseRepresentation
bin110010010101101000
3101110211110
4302111220
523044214
64230320
71516056
oct622550
9343743
10206184
11130a00
129b3a0
1372b04
14551d6
1541159
hex32568

206184 has 48 divisors (see below), whose sum is σ = 574560. Its totient is φ = 61600.

The previous prime is 206183. The next prime is 206191. The reversal of 206184 is 481602.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 206184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2869 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2206184 is an apocalyptic number.

206184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

206184 is an abundant number, since it is smaller than the sum of its proper divisors (368376).

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

206184 is a wasteful number, since it uses less digits than its factorization.

206184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 206184 is about 454.0748836921. The cubic root of 206184 is about 59.0769846337.

Adding to 206184 its reverse (481602), we get a palindrome (687786).

It can be divided in two parts, 2061 and 84, that added together give a triangular number (2145 = T65).

The spelling of 206184 in words is "two hundred six thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 121 132 142 213 242 264 284 363 426 484 568 726 781 852 968 1452 1562 1704 2343 2904 3124 4686 6248 8591 9372 17182 18744 25773 34364 51546 68728 103092 206184