Search a number
-
+
20247066 = 23273743101
BaseRepresentation
bin100110100111…
…1001000011010
31102002122202100
41031033020122
520140401231
62001544230
7334045230
oct115171032
942078670
1020247066
1110479a14
126945076
13426ba18
142990950
151b9e1e6
hex134f21a

20247066 has 96 divisors (see below), whose sum is σ = 53209728. Its totient is φ = 5443200.

The previous prime is 20247053. The next prime is 20247067. The reversal of 20247066 is 66074202.

20247066 is a nontrivial binomial coefficient, being equal to C(6364, 2).

It is a super-3 number, since 3×202470663 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20247067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200416 + ... + 200516.

It is an arithmetic number, because the mean of its divisors is an integer number (554268).

Almost surely, 220247066 is an apocalyptic number.

20247066 is the 6363-rd triangular number and also the 3182-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20247066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26604864).

20247066 is an abundant number, since it is smaller than the sum of its proper divisors (32962662).

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

20247066 is a wasteful number, since it uses less digits than its factorization.

20247066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20247066 is about 4499.6739881907. The cubic root of 20247066 is about 272.5549242598.

The spelling of 20247066 in words is "twenty million, two hundred forty-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 43 63 74 86 101 111 126 129 202 222 258 259 301 303 333 387 518 602 606 666 707 774 777 903 909 1414 1554 1591 1806 1818 2121 2331 2709 3182 3737 4242 4343 4662 4773 5418 6363 7474 8686 9546 11137 11211 12726 13029 14319 22274 22422 26058 26159 28638 30401 33411 33633 39087 52318 60802 66822 67266 78174 78477 91203 100233 156954 160691 182406 200466 235431 273609 321382 470862 482073 547218 964146 1124837 1446219 2249674 2892438 3374511 6749022 10123533 20247066