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68138070 = 235711132269
BaseRepresentation
bin1000000111110…
…11010001010110
311202012202212020
410003323101112
5114420404240
610432234010
71455110160
oct403732126
9152182766
1068138070
113550a160
121a99b906
13111691b0
149099930
155eae0d0
hex40fb456

68138070 has 128 divisors (see below), whose sum is σ = 219663360. Its totient is φ = 13063680.

The previous prime is 68138051. The next prime is 68138087. The reversal of 68138070 is 7083186.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28896 + ... + 31164.

It is an arithmetic number, because the mean of its divisors is an integer number (1716120).

Almost surely, 268138070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68138070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109831680).

68138070 is an abundant number, since it is smaller than the sum of its proper divisors (151525290).

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

68138070 is a wasteful number, since it uses less digits than its factorization.

68138070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 68138070 is about 8254.5787294083. The cubic root of 68138070 is about 408.4415754508.

The spelling of 68138070 in words is "sixty-eight million, one hundred thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2269 2310 2730 3003 4290 4538 5005 6006 6807 10010 11345 13614 15015 15883 22690 24959 29497 30030 31766 34035 47649 49918 58994 68070 74877 79415 88491 95298 124795 147485 149754 158830 174713 176982 206479 238245 249590 294970 324467 349426 374385 412958 442455 476490 524139 619437 648934 748770 873565 884910 973401 1032395 1048278 1238874 1622335 1747130 1946802 2064790 2271269 2620695 3097185 3244670 4542538 4867005 5241390 6194370 6813807 9734010 11356345 13627614 22712690 34069035 68138070