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68127300 = 223252591283
BaseRepresentation
bin1000000111110…
…00101001000100
311202012020002100
410003320221010
5114420033200
610432112100
71455033603
oct403705104
9152166070
1068127300
113550205a
121a995630
1311164317
149095a3a
155eaad00
hex40f8a44

68127300 has 108 divisors (see below), whose sum is σ = 217329840. Its totient is φ = 17845440.

The previous prime is 68127277. The next prime is 68127329. The reversal of 68127300 is 372186.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52459 + ... + 53741.

Almost surely, 268127300 is an apocalyptic number.

68127300 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 68127300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108664920).

68127300 is an abundant number, since it is smaller than the sum of its proper divisors (149202540).

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

68127300 is a wasteful number, since it uses less digits than its factorization.

68127300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 68127300 is about 8253.9263384162. The cubic root of 68127300 is about 408.4200546986.

Adding to 68127300 its reverse (372186), we get a palindrome (68499486).

The spelling of 68127300 in words is "sixty-eight million, one hundred twenty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 295 300 354 450 531 590 708 885 900 1062 1180 1283 1475 1770 2124 2566 2655 2950 3540 3849 4425 5132 5310 5900 6415 7698 8850 10620 11547 12830 13275 15396 17700 19245 23094 25660 26550 32075 38490 46188 53100 57735 64150 75697 76980 96225 115470 128300 151394 192450 227091 230940 288675 302788 378485 384900 454182 577350 681273 756970 908364 1135455 1154700 1362546 1513940 1892425 2270910 2725092 3406365 3784850 4541820 5677275 6812730 7569700 11354550 13625460 17031825 22709100 34063650 68127300