Search a number
-
+
680498112 = 26373116333
BaseRepresentation
bin101000100011111…
…001001111000000
31202102110212220210
4220203321033000
52343201414422
6151305234120
722602065340
oct5043711700
91672425823
10680498112
1131a13a338
1216ba92940
13aaca1908
146653cd20
153eb1e10c
hex288f93c0

680498112 has 112 divisors (see below), whose sum is σ = 2124204032. Its totient is φ = 188144640.

The previous prime is 680498107. The next prime is 680498141. The reversal of 680498112 is 211894086.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33498 + ... + 49830.

Almost surely, 2680498112 is an apocalyptic number.

680498112 is a gapful number since it is divisible by the number (62) 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 680498112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062102016).

680498112 is an abundant number, since it is smaller than the sum of its proper divisors (1443705920).

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

680498112 is a wasteful number, since it uses less digits than its factorization.

680498112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16386 (or 16376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 680498112 is about 26086.3587340204. The cubic root of 680498112 is about 879.5805990467.

The spelling of 680498112 in words is "six hundred eighty million, four hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 16333 20832 32666 41664 48999 65332 97998 114331 130664 195996 228662 261328 342993 391992 457324 506323 522656 685986 783984 914648 1012646 1045312 1371972 1518969 1567968 1829296 2025292 2743944 3037938 3135936 3544261 3658592 4050584 5487888 6075876 7088522 7317184 8101168 10632783 10975776 12151752 14177044 16202336 21265566 21951552 24303504 28354088 32404672 42531132 48607008 56708176 85062264 97214016 113416352 170124528 226832704 340249056 680498112