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18207 = 327172
BaseRepresentation
bin100011100011111
3220222100
410130133
51040312
6220143
7104040
oct43437
926870
1018207
1112752
12a653
138397
1468c7
1555dc
hex471f

18207 has 18 divisors (see below), whose sum is σ = 31928. Its totient is φ = 9792.

The previous prime is 18199. The next prime is 18211. The reversal of 18207 is 70281.

Adding to 18207 its sum of digits (18), we get a square (18225 = 1352).

Multipling 18207 by its product of nonzero digits (112), we get a square (2039184 = 14282).

Adding to 18207 its reverse (70281), we get a palindrome (88488).

It can be divided in two parts, 18 and 207, that added together give a square (225 = 152).

It is not a de Polignac number, because 18207 - 23 = 18199 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a Duffinian number.

18207 is a lucky number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 18207.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18207.

It is not an unprimeable number, because it can be changed into a prime (18217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1063 + ... + 1079.

218207 is an apocalyptic number.

18207 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

18207 is a deficient number, since it is larger than the sum of its proper divisors (13721).

18207 is a wasteful number, since it uses less digits than its factorization.

18207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 18207 is about 134.9333168643. The cubic root of 18207 is about 26.3074930338.

The spelling of 18207 in words is "eighteen thousand, two hundred seven".

Divisors: 1 3 7 9 17 21 51 63 119 153 289 357 867 1071 2023 2601 6069 18207