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68276736 = 293311449
BaseRepresentation
bin1000001000111…
…01001000000000
311202110211002000
410010131020000
5114434323421
610435224000
71456225353
oct404351000
9152424060
1068276736
11355a4360
121aa48000
13111b7348
1490d429a
155eda226
hex411d200

68276736 has 160 divisors (see below), whose sum is σ = 220968000. Its totient is φ = 20643840.

The previous prime is 68276731. The next prime is 68276737. The reversal of 68276736 is 63767286.

It is a junction number, because it is equal to n+sod(n) for n = 68276691 and 68276700.

It is not an unprimeable number, because it can be changed into a prime (68276731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151840 + ... + 152288.

It is an arithmetic number, because the mean of its divisors is an integer number (1381050).

Almost surely, 268276736 is an apocalyptic number.

68276736 is a gapful number since it is divisible by the number (66) 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 68276736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110484000).

68276736 is an abundant number, since it is smaller than the sum of its proper divisors (152691264).

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

68276736 is a wasteful number, since it uses less digits than its factorization.

68276736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 68276736 is about 8262.9737988209. The cubic root of 68276736 is about 408.7184572916.

The spelling of 68276736 in words is "sixty-eight million, two hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 449 512 528 576 594 704 768 792 864 898 1056 1152 1188 1347 1408 1536 1584 1728 1796 2112 2304 2376 2694 2816 3168 3456 3592 4041 4224 4608 4752 4939 5388 5632 6336 6912 7184 8082 8448 9504 9878 10776 12123 12672 13824 14368 14817 16164 16896 19008 19756 21552 24246 25344 28736 29634 32328 38016 39512 43104 44451 48492 50688 57472 59268 64656 76032 79024 86208 88902 96984 114944 118536 129312 133353 152064 158048 172416 177804 193968 229888 237072 258624 266706 316096 344832 355608 387936 474144 517248 533412 632192 689664 711216 775872 948288 1034496 1066824 1264384 1422432 1551744 1896576 2068992 2133648 2528768 2844864 3103488 3793152 4267296 5689728 6206976 7586304 8534592 11379456 17069184 22758912 34138368 68276736