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68729850 = 23352721039
BaseRepresentation
bin1000001100010…
…11101111111010
311210022211122000
410012023233322
5120043323400
610453041430
71463123400
oct406135772
9153284560
1068729850
1135883832
121b026276
1311315667
1491b1470
156079600
hex418bbfa

68729850 has 144 divisors (see below), whose sum is σ = 220521600. Its totient is φ = 15694560.

The previous prime is 68729813. The next prime is 68729851. The reversal of 68729850 is 5892786.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 68729796 and 68729805.

It is not an unprimeable number, because it can be changed into a prime (68729851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65631 + ... + 66669.

It is an arithmetic number, because the mean of its divisors is an integer number (1531400).

Almost surely, 268729850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68729850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110260800).

68729850 is an abundant number, since it is smaller than the sum of its proper divisors (151791750).

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

68729850 is a wasteful number, since it uses less digits than its factorization.

68729850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 68729850 is about 8290.3467961238. The cubic root of 68729850 is about 409.6206087869.

The spelling of 68729850 in words is "sixty-eight million, seven hundred twenty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 675 735 882 945 1039 1050 1225 1323 1350 1470 1575 1890 2078 2205 2450 2646 3117 3150 3675 4410 4725 5195 6234 6615 7273 7350 9351 9450 10390 11025 13230 14546 15585 18702 21819 22050 25975 28053 31170 33075 36365 43638 46755 50911 51950 56106 65457 66150 72730 77925 93510 101822 109095 130914 140265 152733 155850 181825 196371 218190 233775 254555 280530 305466 327285 363650 392742 458199 467550 509110 545475 654570 701325 763665 916398 981855 1090950 1272775 1374597 1402650 1527330 1636425 1963710 2290995 2545550 2749194 3272850 3818325 4581990 4909275 6872985 7636650 9818550 11454975 13745970 22909950 34364925 68729850