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68027100 = 22352239859
BaseRepresentation
bin1000000111000…
…00001011011100
311202000010122020
410003200023130
5114403331400
610430020140
71454135511
oct403401334
9152003566
1068027100
1135443849
121a947650
131112a82b
14906b308
155e8b2a0
hex40e02dc

68027100 has 72 divisors (see below), whose sum is σ = 205403520. Its totient is φ = 17350080.

The previous prime is 68027083. The next prime is 68027111. The reversal of 68027100 is 172086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971 + ... + 11829.

Almost surely, 268027100 is an apocalyptic number.

68027100 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 68027100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102701760).

68027100 is an abundant number, since it is smaller than the sum of its proper divisors (137376420).

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

68027100 is a wasteful number, since it uses less digits than its factorization.

68027100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9899 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 68027100 is about 8247.8542664138. The cubic root of 68027100 is about 408.2197249772.

Adding to 68027100 its reverse (172086), we get a palindrome (68199186).

The spelling of 68027100 in words is "sixty-eight million, twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 9859 19718 29577 39436 49295 59154 98590 118308 147885 197180 226757 246475 295770 453514 492950 591540 680271 739425 907028 985900 1133785 1360542 1478850 2267570 2721084 2957700 3401355 4535140 5668925 6802710 11337850 13605420 17006775 22675700 34013550 68027100