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20320256 = 21211241
BaseRepresentation
bin100110110000…
…1000000000000
31102020101011002
41031201000000
520200222011
62003311132
7334501505
oct115410000
942211132
1020320256
1110519a00
12697b4a8
134296128
1429ad4ac
151bb5c3b
hex1361000

20320256 has 78 divisors (see below), whose sum is σ = 45754926. Its totient is φ = 9011200.

The previous prime is 20320241. The next prime is 20320277. The reversal of 20320256 is 65202302.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12390400 + 7929856 = 3520^2 + 2816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495596 + ... + 495636.

Almost surely, 220320256 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 20320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22877463).

20320256 is an abundant number, since it is smaller than the sum of its proper divisors (25434670).

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

20320256 is an equidigital number, since it uses as much as digits as its factorization.

20320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 20320256 is about 4507.7994631527. The cubic root of 20320256 is about 272.8829439080.

Adding to 20320256 its reverse (65202302), we get a palindrome (85522558).

The spelling of 20320256 in words is "twenty million, three hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 128 164 176 242 256 328 352 451 484 512 656 704 902 968 1024 1312 1408 1804 1936 2048 2624 2816 3608 3872 4096 4961 5248 5632 7216 7744 9922 10496 11264 14432 15488 19844 20992 22528 28864 30976 39688 41984 45056 57728 61952 79376 83968 115456 123904 158752 167936 230912 247808 317504 461824 495616 635008 923648 1270016 1847296 2540032 5080064 10160128 20320256