Search a number
-
+
683020580 = 2251159101521
BaseRepresentation
bin101000101101100…
…001000100100100
31202121020001002112
4220231201010210
52344323124310
6151435300152
722632402434
oct5055410444
91677201075
10683020580
11320602520
121708aa658
13ab675ab8
14669d82c4
153ee6b705
hex28b61124

683020580 has 96 divisors (see below), whose sum is σ = 1610098560. Its totient is φ = 241280000.

The previous prime is 683020549. The next prime is 683020601. The reversal of 683020580 is 85020386.

It is a super-2 number, since 2×6830205802 = 933034225407072800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310720 + ... + 1311240.

It is an arithmetic number, because the mean of its divisors is an integer number (16771860).

Almost surely, 2683020580 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 683020580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805049280).

683020580 is an abundant number, since it is smaller than the sum of its proper divisors (927077980).

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

683020580 is a wasteful number, since it uses less digits than its factorization.

683020580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 683020580 is about 26134.6624236855. The cubic root of 683020580 is about 880.6660676991. Note that the first 3 decimals are identical.

The spelling of 683020580 in words is "six hundred eighty-three million, twenty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 101 110 118 202 220 236 295 404 505 521 590 649 1010 1042 1111 1180 1298 2020 2084 2222 2596 2605 3245 4444 5210 5555 5731 5959 6490 10420 11110 11462 11918 12980 22220 22924 23836 28655 29795 30739 52621 57310 59590 61478 65549 105242 114620 119180 122956 131098 153695 210484 262196 263105 307390 327745 338129 526210 578831 614780 655490 676258 1052420 1157662 1310980 1352516 1690645 2315324 2894155 3104639 3381290 5788310 6209278 6762580 11576620 12418556 15523195 31046390 34151029 62092780 68302058 136604116 170755145 341510290 683020580