Search a number
-
+
20881938 = 2372112587
BaseRepresentation
bin100111110101…
…0001000010010
31110021220122010
41033222020102
520321210223
62023323350
7342331200
oct117521022
943256563
1020881938
1110872a00
126bb0556
13443199c
142ab8070
151c77393
hex13ea212

20881938 has 72 divisors (see below), whose sum is σ = 53491536. Its totient is φ = 5414640.

The previous prime is 20881921. The next prime is 20881963. The reversal of 20881938 is 83918802.

It is a junction number, because it is equal to n+sod(n) for n = 20881896 and 20881905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35281 + ... + 35867.

It is an arithmetic number, because the mean of its divisors is an integer number (742938).

Almost surely, 220881938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20881938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26745768).

20881938 is an abundant number, since it is smaller than the sum of its proper divisors (32609598).

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

20881938 is a wasteful number, since it uses less digits than its factorization.

20881938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 20881938 is about 4569.6759184870. The cubic root of 20881938 is about 275.3744233099.

The spelling of 20881938 in words is "twenty million, eight hundred eighty-one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 587 726 847 1078 1174 1617 1694 1761 2541 3234 3522 4109 5082 5929 6457 8218 11858 12327 12914 17787 19371 24654 28763 35574 38742 45199 57526 71027 86289 90398 135597 142054 172578 213081 271194 316393 426162 497189 632786 949179 994378 1491567 1898358 2983134 3480323 6960646 10440969 20881938