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68243136 = 26313191439
BaseRepresentation
bin1000001000101…
…00111011000000
311202102002222120
410010110323000
5114432240021
610434404240
71456025403
oct404247300
9152362876
1068243136
1135581095
121aa30680
13111a4c70
1490c5d3a
155ed02c6
hex4114ec0

68243136 has 112 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 19878912.

The previous prime is 68243113. The next prime is 68243143. The reversal of 68243136 is 63134286.

It is a super-2 number, since 2×682431362 = 9314251222228992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68243097 and 68243106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46705 + ... + 48143.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 268243136 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 68243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

68243136 is an abundant number, since it is smaller than the sum of its proper divisors (136582464).

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

68243136 is a wasteful number, since it uses less digits than its factorization.

68243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1476 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 68243136 is about 8260.9403823052. The cubic root of 68243136 is about 408.6514008078.

The spelling of 68243136 in words is "sixty-eight million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1439 1482 1824 1976 2496 2878 2964 3648 3952 4317 5756 5928 7904 8634 11512 11856 15808 17268 18707 23024 23712 27341 34536 37414 46048 47424 54682 56121 69072 74828 82023 92096 109364 112242 138144 149656 164046 218728 224484 276288 299312 328092 355433 437456 448968 598624 656184 710866 874912 897936 1066299 1197248 1312368 1421732 1749824 1795872 2132598 2624736 2843464 3591744 4265196 5249472 5686928 8530392 11373856 17060784 22747712 34121568 68243136