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67730661 = 36531753
BaseRepresentation
bin1000000100101…
…11110011100101
311201110002000000
410002113303211
5114314340121
610415411513
71451462325
oct402276345
9151402000
1067730661
1135261059
121a823b99
131105591b
148dd1285
155e2d526
hex4097ce5

67730661 has 28 divisors (see below), whose sum is σ = 103524588. Its totient is φ = 44276544.

The previous prime is 67730659. The next prime is 67730693. The reversal of 67730661 is 16603776.

It can be written as a sum of positive squares in 2 ways, for example, as 21068100 + 46662561 = 4590^2 + 6831^2 .

It is not a de Polignac number, because 67730661 - 21 = 67730659 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67730651) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 37761 + ... + 39513.

Almost surely, 267730661 is an apocalyptic number.

It is an amenable number.

67730661 is a deficient number, since it is larger than the sum of its proper divisors (35793927).

67730661 is an equidigital number, since it uses as much as digits as its factorization.

67730661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 67730661 is about 8229.8639721444. The cubic root of 67730661 is about 407.6259006014.

The spelling of 67730661 in words is "sixty-seven million, seven hundred thirty thousand, six hundred sixty-one".

Divisors: 1 3 9 27 53 81 159 243 477 729 1431 1753 4293 5259 12879 15777 38637 47331 92909 141993 278727 425979 836181 1277937 2508543 7525629 22576887 67730661