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680829696 = 28321092711
BaseRepresentation
bin101000100101001…
…010001100000000
31202110002201202200
4220211022030000
52343243022241
6151320313200
722604646141
oct5045121400
91673081680
10680829696
1131a346478
12170012800
13ab089811
14665c7ac8
153eb874b6
hex2894a300

680829696 has 108 divisors (see below), whose sum is σ = 1981739760. Its totient is φ = 224778240.

The previous prime is 680829673. The next prime is 680829703. The reversal of 680829696 is 696928086.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249781 + ... + 252491.

Almost surely, 2680829696 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 680829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990869880).

680829696 is an abundant number, since it is smaller than the sum of its proper divisors (1300910064).

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

680829696 is a wasteful number, since it uses less digits than its factorization.

680829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 680829696 is about 26092.7134656402. The cubic root of 680829696 is about 879.7234392642.

The spelling of 680829696 in words is "six hundred eighty million, eight hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 576 654 768 872 981 1152 1308 1744 1962 2304 2616 2711 3488 3924 5232 5422 6976 7848 8133 10464 10844 13952 15696 16266 20928 21688 24399 27904 31392 32532 41856 43376 48798 62784 65064 83712 86752 97596 125568 130128 173504 195192 251136 260256 295499 347008 390384 520512 590998 694016 780768 886497 1041024 1181996 1561536 1772994 2082048 2363992 2659491 3123072 3545988 4727984 5318982 6246144 7091976 9455968 10637964 14183952 18911936 21275928 28367904 37823872 42551856 56735808 75647744 85103712 113471616 170207424 226943232 340414848 680829696