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68136816 = 24311177591
BaseRepresentation
bin1000000111110…
…10111101110000
311202012201010210
410003322331300
5114420334231
610432224120
71455103416
oct403727560
9152181123
1068136816
1135509220
121a99b040
1311168757
1490992b6
155eada46
hex40faf70

68136816 has 80 divisors (see below), whose sum is σ = 203344128. Its totient is φ = 19430400.

The previous prime is 68136797. The next prime is 68136823. The reversal of 68136816 is 61863186.

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

It is a congruent number.

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, 5181 + ... + 12771.

Almost surely, 268136816 is an apocalyptic number.

68136816 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 68136816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101672064).

68136816 is an abundant number, since it is smaller than the sum of its proper divisors (135207312).

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

68136816 is a wasteful number, since it uses less digits than its factorization.

68136816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7624 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 68136816 is about 8254.5027712152. The cubic root of 68136816 is about 408.4390698085.

The spelling of 68136816 in words is "sixty-eight million, one hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 7591 8976 15182 22773 30364 45546 60728 83501 91092 121456 129047 167002 182184 250503 258094 334004 364368 387141 501006 516188 668008 774282 1002012 1032376 1336016 1419517 1548564 2004024 2064752 2839034 3097128 4008048 4258551 5678068 6194256 8517102 11356136 17034204 22712272 34068408 68136816