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20144982 = 23111353443
BaseRepresentation
bin100110011011…
…0001101010110
31101220110201110
41030312031112
520124114412
61555435450
7333141504
oct114661526
941813643
1020144982
111040a250
1268b5b86
134234410
142965674
151b7dd3c
hex1336356

20144982 has 64 divisors (see below), whose sum is σ = 48335616. Its totient is φ = 5516160.

The previous prime is 20144977. The next prime is 20144989. The reversal of 20144982 is 28944102.

20144982 is nontrivially palindromic in base 12.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45253 + ... + 45695.

It is an arithmetic number, because the mean of its divisors is an integer number (755244).

Almost surely, 220144982 is an apocalyptic number.

20144982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167808).

20144982 is an abundant number, since it is smaller than the sum of its proper divisors (28190634).

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

20144982 is a wasteful number, since it uses less digits than its factorization.

20144982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20144982 is about 4488.3161653342. The cubic root of 20144982 is about 272.0960859347.

It can be divided in two parts, 2014 and 4982, that added together give a palindrome (6996).

The spelling of 20144982 in words is "twenty million, one hundred forty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 443 583 689 858 886 1166 1329 1378 1749 2067 2658 3498 4134 4873 5759 7579 9746 11518 14619 15158 17277 22737 23479 29238 34554 45474 46958 63349 70437 126698 140874 190047 258269 305227 380094 516538 610454 774807 915681 1549614 1831362 3357497 6714994 10072491 20144982