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680863716 = 2232132296353
BaseRepresentation
bin101000100101010…
…010011111100100
31202110011110102200
4220211102133210
52343300114331
6151321134500
722605150261
oct5045223744
91673143380
10680863716
1131a369a95
1217002a430
13ab09c150
14665d6268
153eb925e6
hex289527e4

680863716 has 72 divisors (see below), whose sum is σ = 1861849080. Its totient is φ = 208548864.

The previous prime is 680863709. The next prime is 680863739. The reversal of 680863716 is 617368086.

680863716 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 637 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122014116 + 558849600 = 11046^2 + 23640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103996 + ... + 110348.

It is an arithmetic number, because the mean of its divisors is an integer number (25859015).

Almost surely, 2680863716 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 680863716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930924540).

680863716 is an abundant number, since it is smaller than the sum of its proper divisors (1180985364).

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

680863716 is a wasteful number, since it uses less digits than its factorization.

680863716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 680863716 is about 26093.3653636322. The cubic root of 680863716 is about 879.7380918237.

The spelling of 680863716 in words is "six hundred eighty million, eight hundred sixty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 6353 8244 8931 11908 12706 17862 19059 25412 26793 35724 38118 53586 57177 76236 82589 107172 114354 165178 228708 247767 330356 495534 743301 991068 1454837 1486602 2909674 2973204 4364511 5819348 8729022 13093533 17458044 18912881 26187066 37825762 52374132 56738643 75651524 113477286 170215929 226954572 340431858 680863716