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68120192 = 277210861
BaseRepresentation
bin1000000111101…
…10111010000000
311202011212100002
410003312322000
5114414321232
610432015132
71455004100
oct403667200
9152155302
1068120192
11354a7788
121a9914a8
131116100a
149093200
155ea8b62
hex40f6e80

68120192 has 48 divisors (see below), whose sum is σ = 157879170. Its totient is φ = 29191680.

The previous prime is 68120191. The next prime is 68120209. The reversal of 68120192 is 29102186.

It can be written as a sum of positive squares in only one way, i.e., 60590656 + 7529536 = 7784^2 + 2744^2 .

It is not an unprimeable number, because it can be changed into a prime (68120191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 842 + ... + 11702.

Almost surely, 268120192 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 68120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78939585).

68120192 is an abundant number, since it is smaller than the sum of its proper divisors (89758978).

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

68120192 is a wasteful number, since it uses less digits than its factorization.

68120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10889 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 68120192 is about 8253.4957442286. The cubic root of 68120192 is about 408.4058501594.

The spelling of 68120192 in words is "sixty-eight million, one hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 10861 21722 43444 76027 86888 152054 173776 304108 347552 532189 608216 695104 1064378 1216432 1390208 2128756 2432864 4257512 4865728 8515024 9731456 17030048 34060096 68120192