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68875560 = 233251314717
BaseRepresentation
bin1000001101011…
…11010100101000
311210121020111200
410012233110220
5120113004220
610500124200
71464301245
oct406572450
9153536450
1068875560
1135973256
121b096660
1311366a90
14920c5cc
1560a7890
hex41af528

68875560 has 96 divisors (see below), whose sum is σ = 241080840. Its totient is φ = 16952832.

The previous prime is 68875559. The next prime is 68875571. The reversal of 68875560 is 6557886.

68875560 is a `hidden beast` number, since 6 + 8 + 87 + 5 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35212356 + 33663204 = 5934^2 + 5802^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2679 + ... + 12038.

Almost surely, 268875560 is an apocalyptic number.

68875560 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 68875560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120540420).

68875560 is an abundant number, since it is smaller than the sum of its proper divisors (172205280).

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

68875560 is a wasteful number, since it uses less digits than its factorization.

68875560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14747 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 68875560 is about 8299.1300748934. The cubic root of 68875560 is about 409.9098750943.

The spelling of 68875560 in words is "sixty-eight million, eight hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 14717 29434 44151 58868 73585 88302 117736 132453 147170 176604 191321 220755 264906 294340 353208 382642 441510 529812 573963 588680 662265 765284 883020 956605 1059624 1147926 1324530 1530568 1721889 1766040 1913210 2295852 2649060 2869815 3443778 3826420 4591704 5298120 5739630 6887556 7652840 8609445 11479260 13775112 17218890 22958520 34437780 68875560