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68287320 = 23335531193
BaseRepresentation
bin1000001000111…
…11101101011000
311202111100121000
410010133231120
5114440143240
610435345000
71456301253
oct404375530
9152440530
1068287320
1135601302
121aa52160
13111bc0ca
1490d809a
155edd430
hex411fb58

68287320 has 128 divisors (see below), whose sum is σ = 232113600. Its totient is φ = 17851392.

The previous prime is 68287313. The next prime is 68287333. The reversal of 68287320 is 2378286.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56644 + ... + 57836.

Almost surely, 268287320 is an apocalyptic number.

68287320 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 68287320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116056800).

68287320 is an abundant number, since it is smaller than the sum of its proper divisors (163826280).

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

68287320 is a wasteful number, since it uses less digits than its factorization.

68287320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68287320 is about 8263.6142213925. The cubic root of 68287320 is about 408.7395755274.

The spelling of 68287320 in words is "sixty-eight million, two hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1193 1272 1431 1590 1908 2120 2385 2386 2862 3180 3579 3816 4770 4772 5724 5965 6360 7155 7158 9540 9544 10737 11448 11930 14310 14316 17895 19080 21474 23860 28620 28632 32211 35790 42948 47720 53685 57240 63229 64422 71580 85896 107370 126458 128844 143160 161055 189687 214740 252916 257688 316145 322110 379374 429480 505832 569061 632290 644220 758748 948435 1138122 1264580 1288440 1517496 1707183 1896870 2276244 2529160 2845305 3414366 3793740 4552488 5690610 6828732 7587480 8535915 11381220 13657464 17071830 22762440 34143660 68287320