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680763762 = 23273711553
BaseRepresentation
bin101000100100111…
…010000101110010
31202102222101022200
4220210322011302
52343233420022
6151315044030
722604253000
oct5044720562
91672871280
10680763762
1131a300988
1216bba0616
13ab0657c3
14665aba70
153eb72bac
hex2893a172

680763762 has 96 divisors (see below), whose sum is σ = 1745452800. Its totient is φ = 191640960.

The previous prime is 680763757. The next prime is 680763799. The reversal of 680763762 is 267367086.

680763762 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 637 + 6 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 437578 + ... + 439130.

It is an arithmetic number, because the mean of its divisors is an integer number (18181800).

Almost surely, 2680763762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680763762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872726400).

680763762 is an abundant number, since it is smaller than the sum of its proper divisors (1064689038).

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

680763762 is a wasteful number, since it uses less digits than its factorization.

680763762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 680763762 is about 26091.4499788724. The cubic root of 680763762 is about 879.6950398186.

The spelling of 680763762 in words is "six hundred eighty million, seven hundred sixty-three thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 343 426 441 497 639 686 882 994 1029 1278 1491 1553 2058 2982 3087 3106 3479 4473 4659 6174 6958 8946 9318 10437 10871 13977 20874 21742 24353 27954 31311 32613 48706 62622 65226 73059 76097 97839 110263 146118 152194 195678 219177 220526 228291 330789 438354 456582 532679 661578 684873 771841 992367 1065358 1369746 1543682 1598037 1984734 2315523 3196074 4631046 4794111 5402887 6946569 9588222 10805774 13893138 16208661 32417322 37820209 48625983 75640418 97251966 113460627 226921254 340381881 680763762