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20565006 = 2372116359
BaseRepresentation
bin100111001110…
…0110000001110
31102200210212220
41032130300032
520231040011
62012440210
7336541200
oct116346016
942623786
1020565006
1110676880
126a79066
134350657
142a34770
151c13506
hex139cc0e

20565006 has 48 divisors (see below), whose sum is σ = 52202880. Its totient is φ = 5340720.

The previous prime is 20565001. The next prime is 20565073. The reversal of 20565006 is 60056502.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20565001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55 + ... + 6413.

It is an arithmetic number, because the mean of its divisors is an integer number (1087560).

Almost surely, 220565006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20565006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26101440).

20565006 is an abundant number, since it is smaller than the sum of its proper divisors (31637874).

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

20565006 is a wasteful number, since it uses less digits than its factorization.

20565006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 20565006 is about 4534.8655988904. The cubic root of 20565006 is about 273.9741659626.

The spelling of 20565006 in words is "twenty million, five hundred sixty-five thousand, six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 6359 12718 19077 38154 44513 69949 89026 133539 139898 209847 267078 311591 419694 489643 623182 934773 979286 1468929 1869546 2937858 3427501 6855002 10282503 20565006