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68141340 = 22325834561
BaseRepresentation
bin1000000111111…
…00000100011100
311202012221100100
410003330010130
5114421010330
610432301100
71455122541
oct403740434
9152187310
1068141340
1135511663
121a9a1790
131116a827
14909abc8
155eb0060
hex40fc11c

68141340 has 72 divisors (see below), whose sum is σ = 209231568. Its totient is φ = 17948160.

The previous prime is 68141323. The next prime is 68141347. The reversal of 68141340 is 4314186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68141347) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12660 + ... + 17220.

It is an arithmetic number, because the mean of its divisors is an integer number (2905994).

Almost surely, 268141340 is an apocalyptic number.

68141340 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 68141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104615784).

68141340 is an abundant number, since it is smaller than the sum of its proper divisors (141090228).

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

68141340 is a wasteful number, since it uses less digits than its factorization.

68141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68141340 is about 8254.7767989207. The cubic root of 68141340 is about 408.4481091579.

The spelling of 68141340 in words is "sixty-eight million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4561 4980 7470 9122 13683 14940 18244 22805 27366 41049 45610 54732 68415 82098 91220 136830 164196 205245 273660 378563 410490 757126 820980 1135689 1514252 1892815 2271378 3407067 3785630 4542756 5678445 6814134 7571260 11356890 13628268 17035335 22713780 34070670 68141340