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680778056 = 237171961617
BaseRepresentation
bin101000100100111…
…101100101001000
31202110000002221002
4220210331211020
52343234344211
6151315234132
722604342450
oct5044754510
91673002832
10680778056
1131a3106a2
1216bba8948
13ab06c16a
14665b2d60
153eb7703b
hex2893d948

680778056 has 128 divisors (see below), whose sum is σ = 1655251200. Its totient is φ = 255467520.

The previous prime is 680778047. The next prime is 680778061. The reversal of 680778056 is 650877086.

It is a super-2 number, since 2×6807780562 = 926917523062278272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 680778056.

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 31 ways as a sum of consecutive naturals, for example, 1103060 + ... + 1103676.

It is an arithmetic number, because the mean of its divisors is an integer number (12931650).

Almost surely, 2680778056 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 680778056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827625600).

680778056 is an abundant number, since it is smaller than the sum of its proper divisors (974473144).

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

680778056 is a wasteful number, since it uses less digits than its factorization.

680778056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The square root of 680778056 is about 26091.7238985852. The cubic root of 680778056 is about 879.7011967625.

The spelling of 680778056 in words is "six hundred eighty million, seven hundred seventy-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 61 68 76 119 122 133 136 152 238 244 266 323 427 476 488 532 617 646 854 952 1037 1064 1159 1234 1292 1708 2074 2261 2318 2468 2584 3416 4148 4319 4522 4636 4936 7259 8113 8296 8638 9044 9272 10489 11723 14518 16226 17276 18088 19703 20978 23446 29036 32452 34552 37637 39406 41956 46892 58072 64904 73423 75274 78812 82061 83912 93784 137921 146846 150548 157624 164122 199291 263459 275842 293692 301096 328244 398582 526918 551684 587384 639829 656488 715103 797164 1053836 1103368 1279658 1395037 1430206 1594328 2107672 2559316 2790074 2860412 4478803 5005721 5118632 5580148 5720824 8957606 10011442 11160296 12156751 17915212 20022884 24313502 35830424 40045768 48627004 85097257 97254008 170194514 340389028 680778056