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67729716 = 22331075861
BaseRepresentation
bin1000000100101…
…11100100110100
311201110000201000
410002113210310
5114314322331
610415403300
71451456505
oct402274464
9151400630
1067729716
113526037a
121a823530
1311055372
148dd0bac
155e2d0e6
hex4097934

67729716 has 48 divisors (see below), whose sum is σ = 177266880. Its totient is φ = 22361760.

The previous prime is 67729693. The next prime is 67729723. The reversal of 67729716 is 61792776.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8626 + ... + 14486.

It is an arithmetic number, because the mean of its divisors is an integer number (3693060).

Almost surely, 267729716 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 67729716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88633440).

67729716 is an abundant number, since it is smaller than the sum of its proper divisors (109537164).

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

67729716 is a wasteful number, since it uses less digits than its factorization.

67729716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5973 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 67729716 is about 8229.8065590875. The cubic root of 67729716 is about 407.6240048166.

The spelling of 67729716 in words is "sixty-seven million, seven hundred twenty-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 5861 11556 11722 17583 23444 35166 52749 70332 105498 158247 210996 316494 627127 632988 1254254 1881381 2508508 3762762 5644143 7525524 11288286 16932429 22576572 33864858 67729716