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680201256 = 233731131997
BaseRepresentation
bin101000100010110…
…000110000101000
31202101220210201010
4220202300300220
52343112420011
6151255023520
722566421020
oct5042606050
91671823633
10680201256
11319a572a9
1216b96aba0
13aabc9767
14664a2a80
153eab11a6
hex288b0c28

680201256 has 128 divisors (see below), whose sum is σ = 2023464960. Its totient is φ = 186451200.

The previous prime is 680201251. The next prime is 680201257. The reversal of 680201256 is 652102086.

It is not an unprimeable number, because it can be changed into a prime (680201251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681750 + ... + 682746.

It is an arithmetic number, because the mean of its divisors is an integer number (15808320).

Almost surely, 2680201256 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 680201256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011732480).

680201256 is an abundant number, since it is smaller than the sum of its proper divisors (1343263704).

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

680201256 is a wasteful number, since it uses less digits than its factorization.

680201256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 680201256 is about 26080.6682429726. The cubic root of 680201256 is about 879.4526796344.

The spelling of 680201256 in words is "six hundred eighty million, two hundred one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 131 168 186 217 248 262 372 393 434 524 651 744 786 868 917 997 1048 1302 1572 1736 1834 1994 2604 2751 2991 3144 3668 3988 4061 5208 5502 5982 6979 7336 7976 8122 11004 11964 12183 13958 16244 20937 22008 23928 24366 27916 28427 30907 32488 41874 48732 55832 56854 61814 83748 85281 92721 97464 113708 123628 130607 167496 170562 185442 216349 227416 247256 261214 341124 370884 391821 432698 522428 649047 682248 741768 783642 865396 914249 1044856 1298094 1567284 1730792 1828498 2596188 2742747 3134568 3656996 4048817 5192376 5485494 7313992 8097634 10970988 12146451 16195268 21941976 24292902 28341719 32390536 48585804 56683438 85025157 97171608 113366876 170050314 226733752 340100628 680201256