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683097120 = 253251924967
BaseRepresentation
bin101000101101110…
…011110000100000
31202121100221002100
4220231303300200
52344333101440
6151441050400
722633141536
oct5055636040
91677327070
10683097120
11320654a82
12170926a00
13ab6a18a4
1466a18156
153ee84230
hex28b73c20

683097120 has 144 divisors (see below), whose sum is σ = 2453855040. Its totient is φ = 172564992.

The previous prime is 683097067. The next prime is 683097127. The reversal of 683097120 is 21790386.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (683097127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14877 + ... + 39843.

It is an arithmetic number, because the mean of its divisors is an integer number (17040660).

Almost surely, 2683097120 is an apocalyptic number.

683097120 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 683097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226927520).

683097120 is an abundant number, since it is smaller than the sum of its proper divisors (1770757920).

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

683097120 is a wasteful number, since it uses less digits than its factorization.

683097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25007 (or 24996 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 683097120 is about 26136.1267214559. The cubic root of 683097120 is about 880.6989625904.

The spelling of 683097120 in words is "six hundred eighty-three million, ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 24967 27360 49934 74901 99868 124835 149802 199736 224703 249670 299604 374505 399472 449406 474373 499340 599208 749010 798944 898812 948746 998680 1123515 1198416 1423119 1498020 1797624 1897492 1997360 2247030 2371865 2396832 2846238 2996040 3595248 3794984 3994720 4269357 4494060 4743730 5692476 5992080 7115595 7190496 7589968 8538714 8988120 9487460 11384952 11984160 14231190 15179936 17077428 17976240 18974920 21346785 22769904 28462380 34154856 35952480 37949840 42693570 45539808 56924760 68309712 75899680 85387140 113849520 136619424 170774280 227699040 341548560 683097120