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68718160 = 2457277443
BaseRepresentation
bin1000001100010…
…00111001010000
311210022020121001
410012020321100
5120042440120
610452511344
71463044330
oct406107120
9153266531
1068718160
1135875a75
121b01b554
1311310244
1491ab0c0
156075e0a
hex4188e50

68718160 has 80 divisors (see below), whose sum is σ = 183666816. Its totient is φ = 23422464.

The previous prime is 68718151. The next prime is 68718161. The reversal of 68718160 is 6181786.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68718161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154899 + ... + 155341.

Almost surely, 268718160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68718160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91833408).

68718160 is an abundant number, since it is smaller than the sum of its proper divisors (114948656).

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

68718160 is a wasteful number, since it uses less digits than its factorization.

68718160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 68718160 is about 8289.6417292908. The cubic root of 68718160 is about 409.5973838639.

It can be divided in two parts, 687181 and 60, that added together give a square (687241 = 8292).

The spelling of 68718160 in words is "sixty-eight million, seven hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 277 280 443 554 560 886 1108 1385 1772 1939 2215 2216 2770 3101 3544 3878 4430 4432 5540 6202 7088 7756 8860 9695 11080 12404 15505 15512 17720 19390 22160 24808 31010 31024 35440 38780 49616 62020 77560 122711 124040 155120 245422 248080 490844 613555 858977 981688 1227110 1717954 1963376 2454220 3435908 4294885 4908440 6871816 8589770 9816880 13743632 17179540 34359080 68718160