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68066730 = 23659337
BaseRepresentation
bin1000000111010…
…01110110101010
311202002011000000
410003221312222
5114411113410
610430523430
71454362164
oct403516652
9152064000
1068066730
11354705a6
121a966576
1311142894
14907b934
155e97dc0
hex40e9daa

68066730 has 56 divisors (see below), whose sum is σ = 183715812. Its totient is φ = 18149184.

The previous prime is 68066711. The next prime is 68066737. The reversal of 68066730 is 3766086.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65173329 + 2893401 = 8073^2 + 1701^2 .

It is not an unprimeable number, because it can be changed into a prime (68066737) 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 27 ways as a sum of consecutive naturals, for example, 2622 + ... + 11958.

Almost surely, 268066730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68066730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91857906).

68066730 is an abundant number, since it is smaller than the sum of its proper divisors (115649082).

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

68066730 is an equidigital number, since it uses as much as digits as its factorization.

68066730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 68066730 is about 8250.2563596533. The cubic root of 68066730 is about 408.2989806817.

The spelling of 68066730 in words is "sixty-eight million, sixty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 9337 18674 28011 46685 56022 84033 93370 140055 168066 252099 280110 420165 504198 756297 840330 1260495 1512594 2268891 2520990 3781485 4537782 6806673 7562970 11344455 13613346 22688910 34033365 68066730