Search a number
-
+
20609064 = 23327103397
BaseRepresentation
bin100111010011…
…1100000101000
31102210001022200
41032213200220
520233442224
62013420200
7340113510
oct116474050
942701280
1020609064
11106a6993
126a9a660
134367718
142a46840
151c215c9
hex13a7828

20609064 has 96 divisors (see below), whose sum is σ = 64571520. Its totient is φ = 5816448.

The previous prime is 20609041. The next prime is 20609089. The reversal of 20609064 is 46090602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51714 + ... + 52110.

It is an arithmetic number, because the mean of its divisors is an integer number (672620).

Almost surely, 220609064 is an apocalyptic number.

20609064 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 20609064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32285760).

20609064 is an abundant number, since it is smaller than the sum of its proper divisors (43962456).

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

20609064 is a wasteful number, since it uses less digits than its factorization.

20609064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20609064 is about 4539.7206962543. The cubic root of 20609064 is about 274.1696784108.

Adding to 20609064 its reverse (46090602), we get a palindrome (66699666).

The spelling of 20609064 in words is "twenty million, six hundred nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 103 126 168 206 252 309 397 412 504 618 721 794 824 927 1191 1236 1442 1588 1854 2163 2382 2472 2779 2884 3176 3573 3708 4326 4764 5558 5768 6489 7146 7416 8337 8652 9528 11116 12978 14292 16674 17304 22232 25011 25956 28584 33348 40891 50022 51912 66696 81782 100044 122673 163564 200088 245346 286237 327128 368019 490692 572474 736038 858711 981384 1144948 1472076 1717422 2289896 2576133 2944152 3434844 5152266 6869688 10304532 20609064