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682261720 = 23577134319
BaseRepresentation
bin101000101010100…
…111110011011000
31202112210111010121
4220222213303120
52344124333340
6151411123024
722623062140
oct5052476330
91675714117
10682261720
11320134368
121705a3474
13ab46b57a
146687b920
153ed6b94a
hex28aa7cd8

682261720 has 64 divisors (see below), whose sum is σ = 1779148800. Its totient is φ = 230616960.

The previous prime is 682261717. The next prime is 682261751. The reversal of 682261720 is 27162286.

682261720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721 + ... + 37039.

It is an arithmetic number, because the mean of its divisors is an integer number (27799200).

Almost surely, 2682261720 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 682261720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889574400).

682261720 is an abundant number, since it is smaller than the sum of its proper divisors (1096887080).

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

682261720 is a wasteful number, since it uses less digits than its factorization.

682261720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34408 (or 34404 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 682261720 is about 26120.1401221356. The cubic root of 682261720 is about 880.3397964627.

The spelling of 682261720 in words is "six hundred eighty-two million, two hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3976 4970 9940 19880 34319 68638 137276 171595 240233 274552 343190 480466 686380 960932 1201165 1372760 1921864 2402330 2436649 4804660 4873298 9609320 9746596 12183245 17056543 19493192 24366490 34113086 48732980 68226172 85282715 97465960 136452344 170565430 341130860 682261720