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683312120 = 23573241971
BaseRepresentation
bin101000101110101…
…000001111111000
31202121202212000022
4220232220033320
52344411441440
6151445430012
722635025421
oct5056501770
91677685008
10683312120
11320791567
12170a0b308
13ab7486ca
1466a72648
153eec7cb5
hex28ba83f8

683312120 has 64 divisors (see below), whose sum is σ = 1566591840. Its totient is φ = 268185600.

The previous prime is 683312117. The next prime is 683312153. The reversal of 683312120 is 21213386.

683312120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 683312120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703235 + ... + 704205.

Almost surely, 2683312120 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 683312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783295920).

683312120 is an abundant number, since it is smaller than the sum of its proper divisors (883279720).

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

683312120 is a wasteful number, since it uses less digits than its factorization.

683312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 683312120 is about 26140.2394786276. The cubic root of 683312120 is about 880.7913508269.

The spelling of 683312120 in words is "six hundred eighty-three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 241 292 365 482 584 730 964 971 1205 1460 1928 1942 2410 2920 3884 4820 4855 7768 9640 9710 17593 19420 35186 38840 70372 70883 87965 140744 141766 175930 234011 283532 351860 354415 468022 567064 703720 708830 936044 1170055 1417660 1872088 2340110 2835320 4680220 9360440 17082803 34165606 68331212 85414015 136662424 170828030 341656060 683312120