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19982729 = 132317373
BaseRepresentation
bin100110000111…
…0100110001001
31101121020011002
41030032212021
520103421404
61552144345
7331564454
oct114164611
941536132
1019982729
1110309358
1268380b5
1341a8600
14292249b
151b4ac1e
hex130e989

19982729 has 12 divisors (see below), whose sum is σ = 21764556. Its totient is φ = 18338112.

The previous prime is 19982713. The next prime is 19982731. The reversal of 19982729 is 92728991.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7166329 + 12816400 = 2677^2 + 3580^2 .

It is not a de Polignac number, because 19982729 - 24 = 19982713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19982759) 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 11 ways as a sum of consecutive naturals, for example, 53387 + ... + 53759.

It is an arithmetic number, because the mean of its divisors is an integer number (1813713).

Almost surely, 219982729 is an apocalyptic number.

It is an amenable number.

19982729 is a deficient number, since it is larger than the sum of its proper divisors (1781827).

19982729 is a wasteful number, since it uses less digits than its factorization.

19982729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its digits is 163296, while the sum is 47.

The square root of 19982729 is about 4470.2045814481. The cubic root of 19982729 is about 271.3636046466.

It can be divided in two parts, 199 and 82729, that added together give a palindrome (82928).

The spelling of 19982729 in words is "nineteen million, nine hundred eighty-two thousand, seven hundred twenty-nine".

Divisors: 1 13 169 317 373 4121 4849 53573 63037 118241 1537133 19982729