Search a number
-
+
20003106 = 234789797
BaseRepresentation
bin100110001001…
…1100100100010
31101122021002210
41030103210202
520110044411
61552422550
7332011044
oct114234442
941567083
1020003106
11103226a2
126847a56
1341b4976
142929a94
151b51ca6
hex1313922

20003106 has 32 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 6444416.

The previous prime is 20003089. The next prime is 20003107. The reversal of 20003106 is 60130002.

It is a super-3 number, since 3×200031063 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20003091 and 20003100.

It is not an unprimeable number, because it can be changed into a prime (20003107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24700 + ... + 25496.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 220003106 is an apocalyptic number.

20003106 is the 2391-st nonagonal number.

20003106 is an abundant number, since it is smaller than the sum of its proper divisors (21365214).

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

20003106 is a wasteful number, since it uses less digits than its factorization.

20003106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20003106 is about 4472.4832028751. The cubic root of 20003106 is about 271.4558125673.

Adding to 20003106 its reverse (60130002), we get a palindrome (80133108).

The spelling of 20003106 in words is "twenty million, three thousand, one hundred six".

Divisors: 1 2 3 6 47 89 94 141 178 267 282 534 797 1594 2391 4183 4782 8366 12549 25098 37459 70933 74918 112377 141866 212799 224754 425598 3333851 6667702 10001553 20003106