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680656896 = 21732577
BaseRepresentation
bin101000100100100…
…000000000000000
31202102202221201200
4220210200000000
52343222010041
6151312501200
722603326303
oct5044400000
91672687650
10680656896
1131a238667
1216bb4a800
13ab028c7a
1466580b3a
153eb511b6
hex28920000

680656896 has 108 divisors (see below), whose sum is σ = 1969742502. Its totient is φ = 226492416.

The previous prime is 680656861. The next prime is 680656901. The reversal of 680656896 is 698656086.

It can be written as a sum of positive squares in only one way, i.e., 368640000 + 312016896 = 19200^2 + 17664^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179360 + ... + 1179936.

Almost surely, 2680656896 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 680656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984871251).

680656896 is an abundant number, since it is smaller than the sum of its proper divisors (1289085606).

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

680656896 is an frugal number, since it uses more digits than its factorization.

680656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 680656896 is about 26089.4019862472. The cubic root of 680656896 is about 879.6490060278.

The spelling of 680656896 in words is "six hundred eighty million, six hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 577 768 1024 1152 1154 1536 1731 2048 2304 2308 3072 3462 4096 4608 4616 5193 6144 6924 8192 9216 9232 10386 12288 13848 16384 18432 18464 20772 24576 27696 32768 36864 36928 41544 49152 55392 65536 73728 73856 83088 98304 110784 131072 147456 147712 166176 196608 221568 294912 295424 332352 393216 443136 589824 590848 664704 886272 1179648 1181696 1329408 1772544 2363392 2658816 3545088 4726784 5317632 7090176 9453568 10635264 14180352 18907136 21270528 28360704 37814272 42541056 56721408 75628544 85082112 113442816 170164224 226885632 340328448 680656896