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68059080 = 23325971949
BaseRepresentation
bin1000000111001…
…11111111001000
311202001202111200
410003213333020
5114410342310
610430424200
71454330655
oct403477710
9152052450
1068059080
1135465881
121a962060
131113c25b
149078c2c
155e959c0
hex40e7fc8

68059080 has 96 divisors (see below), whose sum is σ = 223587000. Its totient is φ = 17952768.

The previous prime is 68059063. The next prime is 68059111. The reversal of 68059080 is 8095086.

68059080 is a `hidden beast` number, since 68 + 0 + 590 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61121124 + 6937956 = 7818^2 + 2634^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 33946 + ... + 35894.

Almost surely, 268059080 is an apocalyptic number.

68059080 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 68059080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111793500).

68059080 is an abundant number, since it is smaller than the sum of its proper divisors (155527920).

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

68059080 is a wasteful number, since it uses less digits than its factorization.

68059080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 68059080 is about 8249.7927246689. The cubic root of 68059080 is about 408.2836839074.

The spelling of 68059080 in words is "sixty-eight million, fifty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 1949 2328 2910 3492 3880 3898 4365 5820 5847 6984 7796 8730 9745 11640 11694 15592 17460 17541 19490 23388 29235 34920 35082 38980 46776 58470 70164 77960 87705 116940 140328 175410 189053 233880 350820 378106 567159 701640 756212 945265 1134318 1512424 1701477 1890530 2268636 2835795 3402954 3781060 4537272 5671590 6805908 7562120 8507385 11343180 13611816 17014770 22686360 34029540 68059080