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68401060 = 2257313259
BaseRepresentation
bin1000001001110…
…11011110100100
311202201010121121
410010323132210
5120002313220
610442023324
71460254000
oct404733644
9152633547
1068401060
1135679802
121aaa7b44
131122bb00
149127700
156011eaa
hex413b7a4

68401060 has 144 divisors (see below), whose sum is σ = 184464000. Its totient is φ = 21280896.

The previous prime is 68401019. The next prime is 68401061. The reversal of 68401060 is 6010486.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (68401061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159311 + ... + 1159369.

It is an arithmetic number, because the mean of its divisors is an integer number (1281000).

Almost surely, 268401060 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 68401060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92232000).

68401060 is an abundant number, since it is smaller than the sum of its proper divisors (116062940).

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

68401060 is a wasteful number, since it uses less digits than its factorization.

68401060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 68401060 is about 8270.4933347413. The cubic root of 68401060 is about 408.9663831386.

The spelling of 68401060 in words is "sixty-eight million, four hundred one thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 59 65 70 91 98 118 130 140 169 182 196 236 245 260 295 338 343 364 413 455 490 590 637 676 686 767 826 845 910 980 1180 1183 1274 1372 1534 1652 1690 1715 1820 2065 2366 2548 2891 3068 3185 3380 3430 3835 4130 4459 4732 5369 5782 5915 6370 6860 7670 8260 8281 8918 9971 10738 11564 11830 12740 14455 15340 16562 17836 19942 20237 21476 22295 23660 26845 28910 33124 37583 39884 40474 41405 44590 49855 53690 57820 57967 69797 75166 80948 82810 89180 99710 101185 107380 115934 139594 150332 165620 187915 199420 202370 231868 263081 279188 289835 348985 375830 404740 488579 526162 579670 697970 751660 977158 1052324 1159340 1315405 1395940 1954316 2442895 2630810 3420053 4885790 5261620 6840106 9771580 13680212 17100265 34200530 68401060