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680768680 = 235314711681
BaseRepresentation
bin101000100100111…
…011010010101000
31202102222122001211
4220210323102220
52343234044210
6151315122504
722604303224
oct5044732250
91672878054
10680768680
1131a304649
1216bba3434
13ab067b07
14665ad784
153eb7438a
hex2893b4a8

680768680 has 64 divisors (see below), whose sum is σ = 1614919680. Its totient is φ = 257894400.

The previous prime is 680768663. The next prime is 680768701. The reversal of 680768680 is 86867086.

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, 52440 + ... + 64120.

It is an arithmetic number, because the mean of its divisors is an integer number (25233120).

Almost surely, 2680768680 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 680768680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807459840).

680768680 is an abundant number, since it is smaller than the sum of its proper divisors (934151000).

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

680768680 is a wasteful number, since it uses less digits than its factorization.

680768680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11770 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 680768680 is about 26091.5442241351. The cubic root of 680768680 is about 879.6971581891.

The spelling of 680768680 in words is "six hundred eighty million, seven hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1880 2914 5828 7285 11656 11681 14570 23362 29140 46724 58280 58405 93448 116810 233620 362111 467240 549007 724222 1098014 1448444 1810555 2196028 2745035 2896888 3621110 4392056 5490070 7242220 10980140 14484440 17019217 21960280 34038434 68076868 85096085 136153736 170192170 340384340 680768680