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68583900 = 223527112969
BaseRepresentation
bin1000001011010…
…00000111011100
311210001102102110
410011220013130
5120024141100
610445554020
71461645030
oct405500734
9153042373
1068583900
1135794110
121ab75910
13112940b8
1491741c0
15604b250
hex41681dc

68583900 has 144 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 14246400.

The previous prime is 68583841. The next prime is 68583913. The reversal of 68583900 is 938586.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21616 + ... + 24584.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 268583900 is an apocalyptic number.

68583900 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 68583900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

68583900 is an abundant number, since it is smaller than the sum of its proper divisors (178900260).

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

68583900 is a wasteful number, since it uses less digits than its factorization.

68583900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 68583900 is about 8281.5397119135. The cubic root of 68583900 is about 409.3304558879.

The spelling of 68583900 in words is "sixty-eight million, five hundred eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 2969 3300 3850 4620 5775 5938 7700 8907 11550 11876 14845 17814 20783 23100 29690 32659 35628 41566 44535 59380 62349 65318 74225 83132 89070 97977 103915 124698 130636 148450 163295 178140 195954 207830 222675 228613 249396 296900 311745 326590 391908 415660 445350 457226 489885 519575 623490 653180 685839 816475 890700 914452 979770 1039150 1143065 1246980 1371678 1558725 1632950 1959540 2078300 2286130 2449425 2743356 3117450 3265900 3429195 4572260 4898850 5715325 6234900 6858390 9797700 11430650 13716780 17145975 22861300 34291950 68583900