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67135105 = 527748473
BaseRepresentation
bin1000000000001…
…10011010000001
311200022211001101
410000012122001
5114141310410
610354534401
71443432112
oct400063201
9150284041
1067135105
1134994664
121a597401
1310ba781b
148cb8209
155d61d3a
hex4006681

67135105 has 8 divisors (see below), whose sum is σ = 80854632. Its totient is φ = 53513088.

The previous prime is 67135099. The next prime is 67135109. The reversal of 67135105 is 50153176.

It can be written as a sum of positive squares in 4 ways, for example, as 2686321 + 64448784 = 1639^2 + 8028^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 67135105 - 29 = 67134593 is a prime.

It is a super-2 number, since 2×671351052 = 9014244646722050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67135109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22852 + ... + 25621.

It is an arithmetic number, because the mean of its divisors is an integer number (10106829).

Almost surely, 267135105 is an apocalyptic number.

It is an amenable number.

67135105 is a deficient number, since it is larger than the sum of its proper divisors (13719527).

67135105 is a wasteful number, since it uses less digits than its factorization.

67135105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48755.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 67135105 is about 8193.6014669985. The cubic root of 67135105 is about 406.4276294617.

The spelling of 67135105 in words is "sixty-seven million, one hundred thirty-five thousand, one hundred five".

Divisors: 1 5 277 1385 48473 242365 13427021 67135105