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20641005 = 32572112337
BaseRepresentation
bin100111010111…
…1010011101101
31102211200010200
41032233103231
520241003010
62014224113
7340305600
oct116572355
942750120
1020641005
1110718990
126ab5039
134379118
142a54337
151c2acc0
hex13af4ed

20641005 has 144 divisors (see below), whose sum is σ = 48657024. Its totient is φ = 7983360.

The previous prime is 20641001. The next prime is 20641007. The reversal of 20641005 is 50014602.

It is a happy number.

20641005 is a `hidden beast` number, since 20 + 641 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 20641005 - 22 = 20641001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20641001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 557847 + ... + 557883.

It is an arithmetic number, because the mean of its divisors is an integer number (337896).

Almost surely, 220641005 is an apocalyptic number.

It is an amenable number.

20641005 is an abundant number, since it is smaller than the sum of its proper divisors (28016019).

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

20641005 is a wasteful number, since it uses less digits than its factorization.

20641005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

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

The square root of 20641005 is about 4543.2372819389. The cubic root of 20641005 is about 274.3112461120.

Adding to 20641005 its reverse (50014602), we get a palindrome (70655607).

The spelling of 20641005 in words is "twenty million, six hundred forty-one thousand, five".

Divisors: 1 3 5 7 9 11 15 21 23 33 35 37 45 49 55 63 69 77 99 105 111 115 147 161 165 185 207 231 245 253 259 315 333 345 385 407 441 483 495 539 555 693 735 759 777 805 851 1035 1127 1155 1221 1265 1295 1449 1617 1665 1771 1813 2035 2205 2277 2331 2415 2553 2695 2849 3381 3465 3663 3795 3885 4255 4851 5313 5439 5635 5957 6105 7245 7659 8085 8547 8855 9065 9361 10143 11385 11655 12397 12765 14245 15939 16317 16905 17871 18315 19943 24255 25641 26565 27195 28083 29785 37191 38295 41699 42735 46805 50715 53613 59829 61985 65527 79695 81585 84249 89355 99715 111573 125097 128205 140415 179487 185955 196581 208495 268065 299145 327635 375291 421245 458689 557865 589743 625485 897435 982905 1376067 1876455 2293445 2948715 4128201 6880335 20641005