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680073600 = 2735270841
BaseRepresentation
bin101000100010010…
…001100110000000
31202101200022121010
4220202101212000
52343044323400
6151252200520
722565346603
oct5042214600
91671608533
10680073600
1131997a3a8
1216b909140
13aab8361b
146646c33a
153ea88450
hex28891980

680073600 has 96 divisors (see below), whose sum is σ = 2240024040. Its totient is φ = 181350400.

The previous prime is 680073587. The next prime is 680073619. The reversal of 680073600 is 6370086.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 25821 + ... + 45020.

Almost surely, 2680073600 is an apocalyptic number.

680073600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680073600 is an abundant number, since it is smaller than the sum of its proper divisors (1559950440).

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

680073600 is a wasteful number, since it uses less digits than its factorization.

680073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70868 (or 70851 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 680073600 is about 26078.2207982063. The cubic root of 680073600 is about 879.3976594306.

The spelling of 680073600 in words is "six hundred eighty million, seventy-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 70841 141682 212523 283364 354205 425046 566728 708410 850092 1062615 1133456 1416820 1700184 1771025 2125230 2266912 2833640 3400368 3542050 4250460 4533824 5313075 5667280 6800736 7084100 8500920 9067648 10626150 11334560 13601472 14168200 17001840 21252300 22669120 27202944 28336400 34003680 42504600 45338240 56672800 68007360 85009200 113345600 136014720 170018400 226691200 340036800 680073600