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67068330 = 2357521613
BaseRepresentation
bin1111111111011…
…0000110101010
311200012102110020
43333312012222
5114132141310
610353301310
71443033330
oct377660652
9150172406
1067068330
113494947a
121a564836
1310b83304
148c9bb50
155d4c170
hex3ff61aa

67068330 has 64 divisors (see below), whose sum is σ = 184612608. Its totient is φ = 15275520.

The previous prime is 67068307. The next prime is 67068361. The reversal of 67068330 is 3386076.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67068291 and 67068300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109104 + ... + 109716.

It is an arithmetic number, because the mean of its divisors is an integer number (2884572).

Almost surely, 267068330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67068330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92306304).

67068330 is an abundant number, since it is smaller than the sum of its proper divisors (117544278).

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

67068330 is a wasteful number, since it uses less digits than its factorization.

67068330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 67068330 is about 8189.5256272876. The cubic root of 67068330 is about 406.2928355621.

The spelling of 67068330 in words is "sixty-seven million, sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 521 613 1042 1226 1563 1839 2605 3065 3126 3647 3678 4291 5210 6130 7294 7815 8582 9195 10941 12873 15630 18235 18390 21455 21882 25746 36470 42910 54705 64365 109410 128730 319373 638746 958119 1596865 1916238 2235611 3193730 4471222 4790595 6706833 9581190 11178055 13413666 22356110 33534165 67068330