Search a number
-
+
20205612 = 2234759151
BaseRepresentation
bin100110100010…
…1000000101100
31102000112220000
41031011000230
520133034422
62001024300
7333513330
oct115050054
942015800
1020205612
1110450859
126925090
134255bab
14297d7c0
151b91cac
hex134502c

20205612 has 120 divisors (see below), whose sum is σ = 61797120. Its totient is φ = 5637600.

The previous prime is 20205611. The next prime is 20205617. The reversal of 20205612 is 21650202.

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

It is not an unprimeable number, because it can be changed into a prime (20205611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133737 + ... + 133887.

It is an arithmetic number, because the mean of its divisors is an integer number (514976).

Almost surely, 220205612 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 20205612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30898560).

20205612 is an abundant number, since it is smaller than the sum of its proper divisors (41591508).

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

20205612 is a wasteful number, since it uses less digits than its factorization.

20205612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20205612 is about 4495.0652942977. The cubic root of 20205612 is about 272.3687868134.

Adding to 20205612 its reverse (21650202), we get a palindrome (41855814).

The spelling of 20205612 in words is "twenty million, two hundred five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 81 84 108 118 126 151 162 177 189 236 252 302 324 354 378 413 453 531 567 604 708 756 826 906 1057 1062 1134 1239 1359 1593 1652 1812 2114 2124 2268 2478 2718 3171 3186 3717 4077 4228 4779 4956 5436 6342 6372 7434 8154 8909 9513 9558 11151 12231 12684 14868 16308 17818 19026 19116 22302 24462 26727 28539 33453 35636 38052 44604 48924 53454 57078 62363 66906 80181 85617 106908 114156 124726 133812 160362 171234 187089 240543 249452 320724 342468 374178 481086 561267 721629 748356 962172 1122534 1443258 1683801 2245068 2886516 3367602 5051403 6735204 10102806 20205612