Search a number
-
+
20333664 = 2532135431
BaseRepresentation
bin100110110010…
…0010001100000
31102021001112200
41031210101200
520201134124
62003453200
7334555551
oct115442140
942231480
1020333664
1110528a8a
126987200
13429c270
1429b4328
151bb9bc9
hex1364460

20333664 has 72 divisors (see below), whose sum is σ = 62283312. Its totient is φ = 6255360.

The previous prime is 20333653. The next prime is 20333699. The reversal of 20333664 is 46633302.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029 + ... + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (865046).

Almost surely, 220333664 is an apocalyptic number.

20333664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31141656).

20333664 is an abundant number, since it is smaller than the sum of its proper divisors (41949648).

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

20333664 is a wasteful number, since it uses less digits than its factorization.

20333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 20333664 is about 4509.2864180489. The cubic root of 20333664 is about 272.9429498789.

Adding to 20333664 its reverse (46633302), we get a palindrome (66966966).

The spelling of 20333664 in words is "twenty million, three hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5431 10862 16293 21724 32586 43448 48879 65172 70603 86896 97758 130344 141206 173792 195516 211809 260688 282412 391032 423618 521376 564824 635427 782064 847236 1129648 1270854 1564128 1694472 2259296 2541708 3388944 5083416 6777888 10166832 20333664