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20006811 = 3311314153
BaseRepresentation
bin100110001010…
…0011110011011
31101122110012000
41030110132123
520110204221
61552452043
7332024616
oct114243633
941573160
1020006811
1110325460
12684a023
1341b6566
14292b17d
151b52e26
hex131479b

20006811 has 64 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 11232000.

The previous prime is 20006801. The next prime is 20006813. The reversal of 20006811 is 11860002.

It is not a de Polignac number, because 20006811 - 27 = 20006683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20006813) 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 63 ways as a sum of consecutive naturals, for example, 377461 + ... + 377513.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 220006811 is an apocalyptic number.

20006811 is a deficient number, since it is larger than the sum of its proper divisors (14829669).

20006811 is a wasteful number, since it uses less digits than its factorization.

20006811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 20006811 is about 4472.8973831287. The cubic root of 20006811 is about 271.4725713263.

Adding to 20006811 its reverse (11860002), we get a palindrome (31866813).

The spelling of 20006811 in words is "twenty million, six thousand, eight hundred eleven".

Divisors: 1 3 9 11 27 31 33 41 53 93 99 123 159 279 297 341 369 451 477 583 837 1023 1107 1271 1353 1431 1643 1749 2173 3069 3813 4059 4929 5247 6519 9207 11439 12177 13981 14787 15741 18073 19557 23903 34317 41943 44361 54219 58671 67363 71709 125829 162657 202089 215127 377487 487971 606267 645381 740993 1818801 2222979 6668937 20006811