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20816838 = 235729211
BaseRepresentation
bin100111101101…
…0001111000110
31110011121100000
41033122033012
520312114323
62022102130
7341640330
oct117321706
943147300
1020816838
1110828aa9
126b7a946
13440b173
142a9c450
151c62e43
hex13da3c6

20816838 has 96 divisors (see below), whose sum is σ = 55560960. Its totient is φ = 5715360.

The previous prime is 20816821. The next prime is 20816839. The reversal of 20816838 is 83861802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20816839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98553 + ... + 98763.

It is an arithmetic number, because the mean of its divisors is an integer number (578760).

Almost surely, 220816838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20816838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780480).

20816838 is an abundant number, since it is smaller than the sum of its proper divisors (34744122).

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

20816838 is a wasteful number, since it uses less digits than its factorization.

20816838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 20816838 is about 4562.5473148232. The cubic root of 20816838 is about 275.0879630452.

The spelling of 20816838 in words is "twenty million, eight hundred sixteen thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 211 243 261 378 406 422 486 522 567 609 633 783 1134 1218 1266 1477 1566 1701 1827 1899 2349 2954 3402 3654 3798 4431 4698 5481 5697 6119 7047 8862 10962 11394 12238 13293 14094 16443 17091 18357 26586 32886 34182 36714 39879 42833 49329 51273 55071 79758 85666 98658 102546 110142 119637 128499 165213 239274 256998 330426 358911 385497 495639 717822 770994 991278 1156491 1486917 2312982 2973834 3469473 6938946 10408419 20816838