Search a number
-
+
20634012 = 22327372213
BaseRepresentation
bin100111010110…
…1100110011100
31102211022112200
41032231212130
520240242022
62014131500
7340246320
oct116554634
942738480
1020634012
1110713703
126ab0b90
134375b99
142a51980
151c28bac
hex13ad99c

20634012 has 72 divisors (see below), whose sum is σ = 61248096. Its totient is φ = 5733504.

The previous prime is 20634001. The next prime is 20634017. The reversal of 20634012 is 21043602.

It is a happy number.

20634012 is a `hidden beast` number, since 20 + 634 + 0 + 12 = 666.

It is a super-2 number, since 2×206340122 = 851524902432288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20634017) 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, 8218 + ... + 10430.

It is an arithmetic number, because the mean of its divisors is an integer number (850668).

Almost surely, 220634012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20634012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30624048).

20634012 is an abundant number, since it is smaller than the sum of its proper divisors (40614084).

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

20634012 is a wasteful number, since it uses less digits than its factorization.

20634012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20634012 is about 4542.4676113320. The cubic root of 20634012 is about 274.2802644937.

Adding to 20634012 its reverse (21043602), we get a palindrome (41677614).

The spelling of 20634012 in words is "twenty million, six hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2213 2331 3108 4426 4662 6639 8852 9324 13278 15491 19917 26556 30982 39834 46473 61964 79668 81881 92946 139419 163762 185892 245643 278838 327524 491286 557676 573167 736929 982572 1146334 1473858 1719501 2292668 2947716 3439002 5158503 6878004 10317006 20634012