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680940582 = 23719297463
BaseRepresentation
bin101000100101100…
…101010000100110
31202110022100212120
4220211211100212
52343310044312
6151322530410
722605620340
oct5045452046
91673270776
10680940582
1131a411813
12170066a06
13ab0c812a
1466616290
153ebaa28c
hex28965426

680940582 has 96 divisors (see below), whose sum is σ = 1663183872. Its totient is φ = 182020608.

The previous prime is 680940581. The next prime is 680940607. The reversal of 680940582 is 285049086.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680940581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470483 + ... + 1470945.

It is an arithmetic number, because the mean of its divisors is an integer number (17324832).

Almost surely, 2680940582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680940582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831591936).

680940582 is an abundant number, since it is smaller than the sum of its proper divisors (982243290).

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

680940582 is a wasteful number, since it uses less digits than its factorization.

680940582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 680940582 is about 26094.8382252123. The cubic root of 680940582 is about 879.7711965415.

The spelling of 680940582 in words is "six hundred eighty million, nine hundred forty thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 97 114 133 194 266 291 361 399 463 582 679 722 798 926 1083 1358 1389 1843 2037 2166 2527 2778 3241 3686 4074 5054 5529 6482 7581 8797 9723 11058 12901 15162 17594 19446 25802 26391 35017 38703 44911 52782 61579 70034 77406 89822 105051 123158 134733 167143 184737 210102 245119 269466 314377 334286 369474 490238 501429 628754 735357 853309 943131 1002858 1170001 1470714 1706618 1886262 2340002 2559927 3510003 5119854 5973163 7020006 11946326 16212871 17919489 32425742 35838978 48638613 97277226 113490097 226980194 340470291 680940582