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680570928 = 2432171731607
BaseRepresentation
bin101000100100001…
…011000000110000
31202102121120210200
4220210023000300
52343211232203
6151310555200
722602520542
oct5044130060
91672546720
10680570928
1131a18a014
1216bb08b00
13aacc8abb
146655b692
153eb359a3
hex2890b030

680570928 has 120 divisors (see below), whose sum is σ = 2029611168. Its totient is φ = 212146176.

The previous prime is 680570921. The next prime is 680570963. The reversal of 680570928 is 829075086.

It is not an unprimeable number, because it can be changed into a prime (680570921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422701 + ... + 424307.

Almost surely, 2680570928 is an apocalyptic number.

680570928 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680570928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014805584).

680570928 is an abundant number, since it is smaller than the sum of its proper divisors (1349040240).

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

680570928 is a wasteful number, since it uses less digits than its factorization.

680570928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 680570928 is about 26087.7543686688. The cubic root of 680570928 is about 879.6119707999.

The spelling of 680570928 in words is "six hundred eighty million, five hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 173 204 272 306 346 408 519 612 692 816 1038 1224 1384 1557 1607 2076 2448 2768 2941 3114 3214 4152 4821 5882 6228 6428 8304 8823 9642 11764 12456 12856 14463 17646 19284 23528 24912 25712 26469 27319 28926 35292 38568 47056 52938 54638 57852 70584 77136 81957 105876 109276 115704 141168 163914 211752 218552 231408 245871 278011 327828 423504 437104 491742 556022 655656 834033 983484 1112044 1311312 1668066 1966968 2224088 2502099 3336132 3933936 4448176 4726187 5004198 6672264 9452374 10008396 13344528 14178561 18904748 20016792 28357122 37809496 40033584 42535683 56714244 75618992 85071366 113428488 170142732 226856976 340285464 680570928