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67055680 = 265209549
BaseRepresentation
bin1111111111001…
…1000001000000
311200011210002201
43333303001000
5114131240210
610353122544
71442651416
oct377630100
9150153081
1067055680
113493aa1a
121a559454
1310b7a623
148c972b6
155d4853a
hex3ff3040

67055680 has 28 divisors (see below), whose sum is σ = 159677100. Its totient is φ = 26822144.

The previous prime is 67055663. The next prime is 67055711. The reversal of 67055680 is 8655076.

67055680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31629376 + 35426304 = 5624^2 + 5952^2 .

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 3 ways as a sum of consecutive naturals, for example, 104455 + ... + 105094.

Almost surely, 267055680 is an apocalyptic number.

It is an amenable number.

67055680 is an abundant number, since it is smaller than the sum of its proper divisors (92621420).

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

67055680 is a wasteful number, since it uses less digits than its factorization.

67055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209566 (or 209556 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 67055680 is about 8188.7532628600. The cubic root of 67055680 is about 406.2672898361.

The spelling of 67055680 in words is "sixty-seven million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 209549 419098 838196 1047745 1676392 2095490 3352784 4190980 6705568 8381960 13411136 16763920 33527840 67055680