Search a number
-
+
643760128 = 216111947
BaseRepresentation
bin100110010111110…
…000000000000000
31122212100101212201
4212113300000000
52304300311003
6143514002544
721644604454
oct4627600000
91585311781
10643760128
11300427570
1215b716454
13a34aaa6b
14616d8664
153b7b3b1d
hex265f0000

643760128 has 136 divisors (see below), whose sum is σ = 1509937920. Its totient is φ = 271319040.

The previous prime is 643760111. The next prime is 643760129. The reversal of 643760128 is 821067346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643760129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13697001 + ... + 13697047.

Almost surely, 2643760128 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 643760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754968960).

643760128 is an abundant number, since it is smaller than the sum of its proper divisors (866177792).

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

643760128 is an equidigital number, since it uses as much as digits as its factorization.

643760128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 643760128 is about 25372.4285002441. The cubic root of 643760128 is about 863.4582795299.

The spelling of 643760128 in words is "six hundred forty-three million, seven hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 47 64 76 88 94 128 152 176 188 209 256 304 352 376 418 512 517 608 704 752 836 893 1024 1034 1216 1408 1504 1672 1786 2048 2068 2432 2816 3008 3344 3572 4096 4136 4864 5632 6016 6688 7144 8192 8272 9728 9823 11264 12032 13376 14288 16384 16544 19456 19646 22528 24064 26752 28576 32768 33088 38912 39292 45056 48128 53504 57152 65536 66176 77824 78584 90112 96256 107008 114304 132352 155648 157168 180224 192512 214016 228608 264704 311296 314336 360448 385024 428032 457216 529408 622592 628672 720896 770048 856064 914432 1058816 1245184 1257344 1540096 1712128 1828864 2117632 2514688 3080192 3424256 3657728 4235264 5029376 6848512 7315456 8470528 10058752 13697024 14630912 16941056 20117504 29261824 33882112 40235008 58523648 80470016 160940032 321880064 643760128