Search a number
-
+
680505216 = 2731924909
BaseRepresentation
bin101000100011111…
…010111110000000
31202102111020122220
4220203322332000
52343202131331
6151305331040
722602125136
oct5043727600
91672436586
10680505216
1131a144706
1216ba96a80
13aaca4c11
1466541756
153eb21296
hex288faf80

680505216 has 96 divisors (see below), whose sum is σ = 1908124200. Its totient is φ = 214852608.

The previous prime is 680505181. The next prime is 680505227. The reversal of 680505216 is 612505086.

It is a tau number, because it is divible by the number of its divisors (96).

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, 136170 + ... + 141078.

Almost surely, 2680505216 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 680505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954062100).

680505216 is an abundant number, since it is smaller than the sum of its proper divisors (1227618984).

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

680505216 is a wasteful number, since it uses less digits than its factorization.

680505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 680505216 is about 26086.4948967852. The cubic root of 680505216 is about 879.5836598041.

The spelling of 680505216 in words is "six hundred eighty million, five hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 361 384 456 608 722 912 1083 1216 1444 1824 2166 2432 2888 3648 4332 4909 5776 7296 8664 9818 11552 14727 17328 19636 23104 29454 34656 39272 46208 58908 69312 78544 93271 117816 138624 157088 186542 235632 279813 314176 373084 471264 559626 628352 746168 942528 1119252 1492336 1772149 1885056 2238504 2984672 3544298 4477008 5316447 5969344 7088596 8954016 10632894 11938688 14177192 17908032 21265788 28354384 35816064 42531576 56708768 85063152 113417536 170126304 226835072 340252608 680505216