Search a number
-
+
20698938 = 23213531669
BaseRepresentation
bin100111011110…
…1011100111010
31102221121121100
41032331130322
520244331223
62015352230
7340636521
oct116753472
942847540
1020698938
1110758467
126b22676
1343995c0
142a6b4b8
151c3d043
hex13bd73a

20698938 has 48 divisors (see below), whose sum is σ = 49238280. Its totient is φ = 6244992.

The previous prime is 20698933. The next prime is 20698939. The reversal of 20698938 is 83989602.

It can be written as a sum of positive squares in 4 ways, for example, as 16670889 + 4028049 = 4083^2 + 2007^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20698893 and 20698902.

It is not an unprimeable number, because it can be changed into a prime (20698933) 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, 11568 + ... + 13236.

Almost surely, 220698938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20698938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24619140).

20698938 is an abundant number, since it is smaller than the sum of its proper divisors (28539342).

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

20698938 is a wasteful number, since it uses less digits than its factorization.

20698938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 20698938 is about 4549.6085545902. The cubic root of 20698938 is about 274.5676423625.

The spelling of 20698938 in words is "twenty million, six hundred ninety-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 1669 2067 3338 4134 5007 6201 10014 12402 15021 21697 30042 43394 65091 88457 130182 176914 195273 265371 390546 530742 796113 1149941 1592226 2299882 3449823 6899646 10349469 20698938