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67141984 = 2571323057
BaseRepresentation
bin1000000000010…
…00000101100000
311200100011111011
410000020011200
5114142020414
610355030304
71443461140
oct400100540
9150304434
1067141984
1134999848
121a59b394
1310baa9b0
148cba920
155d63dc4
hex4008160

67141984 has 48 divisors (see below), whose sum is σ = 162697248. Its totient is φ = 26560512.

The previous prime is 67141967. The next prime is 67142011. The reversal of 67141984 is 48914176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8617 + ... + 14440.

It is an arithmetic number, because the mean of its divisors is an integer number (3389526).

Almost surely, 267141984 is an apocalyptic number.

It is an amenable number.

67141984 is an abundant number, since it is smaller than the sum of its proper divisors (95555264).

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

67141984 is a wasteful number, since it uses less digits than its factorization.

67141984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23087 (or 23079 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 67141984 is about 8194.0212350225. The cubic root of 67141984 is about 406.4415105262.

The spelling of 67141984 in words is "sixty-seven million, one hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 23057 46114 92228 161399 184456 299741 322798 368912 599482 645596 737824 1198964 1291192 2098187 2397928 2582384 4196374 4795856 5164768 8392748 9591712 16785496 33570992 67141984