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18127314 = 23612433
BaseRepresentation
bin100010100100…
…1100111010010
31021002222000000
41011021213102
514120033224
61444310430
7310036212
oct105114722
937088000
1018127314
11a261357
1260a2416
1339a8c2a
14259c242
1518d10c9
hex11499d2

18127314 has 28 divisors (see below), whose sum is σ = 40771086. Its totient is φ = 6041952.

The previous prime is 18127313. The next prime is 18127327. The reversal of 18127314 is 41372181.

It can be written as a sum of positive squares in only one way, i.e., 17514225 + 613089 = 4185^2 + 783^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18127313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4759 + ... + 7674.

Almost surely, 218127314 is an apocalyptic number.

18127314 is an abundant number, since it is smaller than the sum of its proper divisors (22643772).

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

18127314 is an equidigital number, since it uses as much as digits as its factorization.

18127314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453 (or 12438 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 18127314 is about 4257.6183483257. The cubic root of 18127314 is about 262.6905718178.

Adding to 18127314 its reverse (41372181), we get a palindrome (59499495).

It can be divided in two parts, 181 and 27314, that added together give a triangular number (27495 = T234).

The spelling of 18127314 in words is "eighteen million, one hundred twenty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 12433 24866 37299 74598 111897 223794 335691 671382 1007073 2014146 3021219 6042438 9063657 18127314