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68263770 = 235192341127
BaseRepresentation
bin1000001000110…
…01111101011010
311202110011021210
410010121331122
5114433420040
610435043550
71456142511
oct404317532
9152404253
1068263770
1135595643
121aa405b6
13111b1483
1490cd678
155ed6480
hex4119f5a

68263770 has 128 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 15966720.

The previous prime is 68263763. The next prime is 68263777. The reversal of 68263770 is 7736286.

68263770 is a nontrivial binomial coefficient, being equal to C(11685, 2).

It is an interprime number because it is at equal distance from previous prime (68263763) and next prime (68263777).

It is a super-2 number, since 2×682637702 = 9319884589225800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68263777) 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 63 ways as a sum of consecutive naturals, for example, 537447 + ... + 537573.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 268263770 is an apocalyptic number.

68263770 is the 11684-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68263770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

68263770 is an abundant number, since it is smaller than the sum of its proper divisors (117530790).

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

68263770 is a wasteful number, since it uses less digits than its factorization.

68263770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 68263770 is about 8262.1891772096. The cubic root of 68263770 is about 408.6925832808.

The spelling of 68263770 in words is "sixty-eight million, two hundred sixty-three thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 41 46 57 69 82 95 114 115 123 127 138 190 205 230 246 254 285 345 381 410 437 570 615 635 690 762 779 874 943 1230 1270 1311 1558 1886 1905 2185 2337 2413 2622 2829 2921 3810 3895 4370 4674 4715 4826 5207 5658 5842 6555 7239 7790 8763 9430 10414 11685 12065 13110 14145 14478 14605 15621 17526 17917 23370 24130 26035 28290 29210 31242 35834 36195 43815 52070 53751 55499 72390 78105 87630 89585 98933 107502 110998 119761 156210 166497 179170 197866 239522 268755 277495 296799 332994 359283 494665 537510 554990 593598 598805 718566 832485 989330 1197610 1483995 1664970 1796415 2275459 2967990 3592830 4550918 6826377 11377295 13652754 22754590 34131885 68263770