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20006514 = 23411103109
BaseRepresentation
bin100110001010…
…0011001110010
31101122102210000
41030110121302
520110202024
61552450430
7332024013
oct114243162
941572700
1020006514
1110325210
126849a16
1341b6398
14292b00a
151b52cc9
hex1314672

20006514 has 80 divisors (see below), whose sum is σ = 49832640. Its totient is φ = 5948640.

The previous prime is 20006509. The next prime is 20006531. The reversal of 20006514 is 41560002.

It is a happy number.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 183492 + ... + 183600.

It is an arithmetic number, because the mean of its divisors is an integer number (622908).

Almost surely, 220006514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20006514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24916320).

20006514 is an abundant number, since it is smaller than the sum of its proper divisors (29826126).

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

20006514 is a wasteful number, since it uses less digits than its factorization.

20006514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20006514 is about 4472.8641830487. The cubic root of 20006514 is about 271.4712279879.

Adding to 20006514 its reverse (41560002), we get a palindrome (61566516).

The spelling of 20006514 in words is "twenty million, six thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 103 109 162 198 206 218 297 309 327 594 618 654 891 927 981 1133 1199 1782 1854 1962 2266 2398 2781 2943 3399 3597 5562 5886 6798 7194 8343 8829 10197 10791 11227 16686 17658 20394 21582 22454 30591 32373 33681 61182 64746 67362 91773 97119 101043 123497 183546 194238 202086 246994 303129 370491 606258 740982 909387 1111473 1818774 2222946 3334419 6668838 10003257 20006514