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680140776 = 233722112741
BaseRepresentation
bin101000100010100…
…001111111101000
31202101210201202010
4220202201333220
52343104001101
6151253435520
722566046500
oct5042417750
91671721663
10680140776
11319a15917
1216b93bba0
13aaba8083
1466488a00
153ea9d2d6
hex288a1fe8

680140776 has 96 divisors (see below), whose sum is σ = 1988059680. Its totient is φ = 193334400.

The previous prime is 680140729. The next prime is 680140823. The reversal of 680140776 is 677041086.

It is an interprime number because it is at equal distance from previous prime (680140729) and next prime (680140823).

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, 246766 + ... + 249506.

It is an arithmetic number, because the mean of its divisors is an integer number (20708955).

Almost surely, 2680140776 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 680140776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994029840).

680140776 is an abundant number, since it is smaller than the sum of its proper divisors (1307918904).

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

680140776 is a wasteful number, since it uses less digits than its factorization.

680140776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 680140776 is about 26079.5087377044. The cubic root of 680140776 is about 879.4266133910.

The spelling of 680140776 in words is "six hundred eighty million, one hundred forty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 211 294 392 422 588 633 844 1176 1266 1477 1688 2532 2741 2954 4431 5064 5482 5908 8223 8862 10339 10964 11816 16446 17724 19187 20678 21928 31017 32892 35448 38374 41356 57561 62034 65784 76748 82712 115122 124068 134309 153496 230244 248136 268618 402927 460488 537236 578351 805854 1074472 1156702 1611708 1735053 2313404 3223416 3470106 4048457 4626808 6940212 8096914 12145371 13880424 16193828 24290742 28339199 32387656 48581484 56678398 85017597 97162968 113356796 170035194 226713592 340070388 680140776