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20984766 = 23111759317
BaseRepresentation
bin101000000001…
…1001110111110
31110111010200120
41100003032332
520333003031
62025435410
7343240035
oct120031676
943433616
1020984766
1110933190
12703bb66
13446972a
142b0371c
151c97a96
hex14033be

20984766 has 64 divisors (see below), whose sum is σ = 49455360. Its totient is φ = 5864960.

The previous prime is 20984753. The next prime is 20984771. The reversal of 20984766 is 66748902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66040 + ... + 66356.

It is an arithmetic number, because the mean of its divisors is an integer number (772740).

Almost surely, 220984766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20984766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24727680).

20984766 is an abundant number, since it is smaller than the sum of its proper divisors (28470594).

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

20984766 is a wasteful number, since it uses less digits than its factorization.

20984766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 20984766 is about 4580.9132277309. The cubic root of 20984766 is about 275.8256880855.

The spelling of 20984766 in words is "twenty million, nine hundred eighty-four thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 102 118 177 187 317 354 374 561 634 649 951 1003 1122 1298 1902 1947 2006 3009 3487 3894 5389 6018 6974 10461 10778 11033 16167 18703 20922 22066 32334 33099 37406 56109 59279 66198 112218 118558 177837 205733 317951 355674 411466 617199 635902 953853 1234398 1907706 3497461 6994922 10492383 20984766