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680784600 = 233524326387
BaseRepresentation
bin101000100100111…
…111001011011000
31202110000102220110
4220210333023120
52343240101400
6151315324320
722604400516
oct5044771330
91673012813
10680784600
1131a315601
1216bbb06a0
13ab072132
14665b54b6
153eb78e50
hex2893f2d8

680784600 has 96 divisors (see below), whose sum is σ = 2159593920. Its totient is φ = 177313920.

The previous prime is 680784593. The next prime is 680784619. The reversal of 680784600 is 6487086.

680784600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 12607 + ... + 38993.

It is an arithmetic number, because the mean of its divisors is an integer number (22495770).

Almost surely, 2680784600 is an apocalyptic number.

680784600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680784600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079796960).

680784600 is an abundant number, since it is smaller than the sum of its proper divisors (1478809320).

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

680784600 is a wasteful number, since it uses less digits than its factorization.

680784600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26449 (or 26440 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 680784600 is about 26091.8493020330. The cubic root of 680784600 is about 879.7040154717.

The spelling of 680784600 in words is "six hundred eighty million, seven hundred eighty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 26387 52774 79161 105548 131935 158322 211096 263870 316644 395805 527740 633288 659675 791610 1055480 1134641 1319350 1583220 1979025 2269282 2638700 3166440 3403923 3958050 4538564 5277400 5673205 6807846 7916100 9077128 11346410 13615692 15832200 17019615 22692820 27231384 28366025 34039230 45385640 56732050 68078460 85098075 113464100 136156920 170196150 226928200 340392300 680784600