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67991868 = 22327674027
BaseRepresentation
bin1000000110101…
…11100100111100
311201221100022100
410003113210330
5114401214433
610425145100
71453631010
oct403274474
9151840270
1067991868
113541a32a
121a92b190
1311117799
14905c540
155e80b13
hex40d793c

67991868 has 72 divisors (see below), whose sum is σ = 199402112. Its totient is φ = 19131552.

The previous prime is 67991851. The next prime is 67991873. The reversal of 67991868 is 86819976.

It is a super-2 number, since 2×679918682 = 9245788228258848, which contains 22 as substring.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14871 + ... + 18897.

Almost surely, 267991868 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 67991868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99701056).

67991868 is an abundant number, since it is smaller than the sum of its proper divisors (131410244).

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

67991868 is a wasteful number, since it uses less digits than its factorization.

67991868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4106 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 67991868 is about 8245.7181615673. The cubic root of 67991868 is about 408.1492389454.

The spelling of 67991868 in words is "sixty-seven million, nine hundred ninety-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2814 4027 4221 5628 8054 8442 12081 16108 16884 24162 28189 36243 48324 56378 72486 84567 112756 144972 169134 253701 269809 338268 507402 539618 809427 1014804 1079236 1618854 1888663 2428281 3237708 3777326 4856562 5665989 7554652 9713124 11331978 16997967 22663956 33995934 67991868