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683985920 = 21051031297
BaseRepresentation
bin101000110001001…
…100110000000000
31202200001002021212
4220301030300000
52400100022140
6151512105252
722643533022
oct5061146000
91680032255
10683985920
11321101822
12171095228
13ab9232c7
1466baa012
15400ac765
hex28c4cc00

683985920 has 88 divisors (see below), whose sum is σ = 1657971744. Its totient is φ = 270729216.

The previous prime is 683985899. The next prime is 683985923. The reversal of 683985920 is 29589386.

It is not an unprimeable number, because it can be changed into a prime (683985923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526712 + ... + 528008.

It is an arithmetic number, because the mean of its divisors is an integer number (18840588).

Almost surely, 2683985920 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 683985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828985872).

683985920 is an abundant number, since it is smaller than the sum of its proper divisors (973985824).

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

683985920 is a wasteful number, since it uses less digits than its factorization.

683985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 683985920 is about 26153.1244787310. The cubic root of 683985920 is about 881.0807657857.

The spelling of 683985920 in words is "six hundred eighty-three million, nine hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 512 515 640 824 1024 1030 1280 1297 1648 2060 2560 2594 3296 4120 5120 5188 6485 6592 8240 10376 12970 13184 16480 20752 25940 26368 32960 41504 51880 52736 65920 83008 103760 105472 131840 133591 166016 207520 263680 267182 332032 415040 527360 534364 664064 667955 830080 1068728 1328128 1335910 1660160 2137456 2671820 3320320 4274912 5343640 6640640 8549824 10687280 17099648 21374560 34199296 42749120 68398592 85498240 136797184 170996480 341992960 683985920