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18414 = 2331131
BaseRepresentation
bin100011111101110
3221021000
410133232
51042124
6221130
7104454
oct43756
927230
1018414
1112920
12a7a6
1384c6
1469d4
1556c9
hex47ee

18414 has 32 divisors (see below), whose sum is σ = 46080. Its totient is φ = 5400.

The previous prime is 18413. The next prime is 18427. The reversal of 18414 is 41481.

Adding to 18414 its reverse (41481), we get a palindrome (59895).

18414 = T4 + T5 + ... + T47.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

218414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040).

18414 is an abundant number, since it is smaller than the sum of its proper divisors (27666).

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

18414 is a wasteful number, since it uses less digits than its factorization.

18414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 18414 is about 135.6981945348. The cubic root of 18414 is about 26.4068164217.

The spelling of 18414 in words is "eighteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 18414