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18814005 = 335743463
BaseRepresentation
bin100011111000…
…1010000110101
31022101211222000
41013301100311
514304022010
61511125513
7315626220
oct107612065
938354860
1018814005
11a690271
126373899
133b89662
1426da5b7
1519b97c0
hex11f1435

18814005 has 64 divisors (see below), whose sum is σ = 39198720. Its totient is φ = 8382528.

The previous prime is 18814001. The next prime is 18814007. The reversal of 18814005 is 50041881.

It is not a de Polignac number, because 18814005 - 22 = 18814001 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18814005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18814001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40404 + ... + 40866.

It is an arithmetic number, because the mean of its divisors is an integer number (612480).

Almost surely, 218814005 is an apocalyptic number.

18814005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18814005 is an abundant number, since it is smaller than the sum of its proper divisors (20384715).

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

18814005 is a wasteful number, since it uses less digits than its factorization.

18814005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 18814005 is about 4337.5113832704. The cubic root of 18814005 is about 265.9665899207.

Adding to 18814005 its reverse (50041881), we get a palindrome (68855886).

It can be divided in two parts, 1881 and 4005, that added together give a triangular number (5886 = T108).

The spelling of 18814005 in words is "eighteen million, eight hundred fourteen thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 463 645 903 945 1161 1389 1505 1935 2315 2709 3241 4167 4515 5805 6945 8127 9723 12501 13545 16205 19909 20835 29169 40635 48615 59727 62505 87507 99545 139363 145845 179181 298635 418089 437535 537543 696815 895905 1254267 2090445 2687715 3762801 6271335 18814005