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68178560 = 275307347
BaseRepresentation
bin1000001000001…
…01001010000000
311202021211101212
410010011022000
5114423203220
610433145252
71455336212
oct404051200
9152254355
1068178560
113553761a
121a9bb228
1311181758
1490aa5b2
155ebb0c5
hex4105280

68178560 has 64 divisors (see below), whose sum is σ = 163991520. Its totient is φ = 27104256.

The previous prime is 68178547. The next prime is 68178563. The reversal of 68178560 is 6587186.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (68178563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196307 + ... + 196653.

Almost surely, 268178560 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 68178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81995760).

68178560 is an abundant number, since it is smaller than the sum of its proper divisors (95812960).

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

68178560 is a wasteful number, since it uses less digits than its factorization.

68178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 68178560 is about 8257.0309433839. The cubic root of 68178560 is about 408.5224628054.

The spelling of 68178560 in words is "sixty-eight million, one hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 307 320 347 614 640 694 1228 1388 1535 1735 2456 2776 3070 3470 4912 5552 6140 6940 9824 11104 12280 13880 19648 22208 24560 27760 39296 44416 49120 55520 98240 106529 111040 196480 213058 222080 426116 532645 852232 1065290 1704464 2130580 3408928 4261160 6817856 8522320 13635712 17044640 34089280 68178560