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11664729 = 3616001
BaseRepresentation
bin101100011111…
…110101011001
3210221122000000
4230133311121
510441232404
61054003213
7201101646
oct54376531
923848000
1011664729
11664797a
123aa6509
13255550b
141798dcd
151056339
hexb1fd59

11664729 has 14 divisors (see below), whose sum is σ = 17490186. Its totient is φ = 7776000.

The previous prime is 11664707. The next prime is 11664733. The reversal of 11664729 is 92746611.

11664729 is a `hidden beast` number, since 1 + 1 + 6 + 647 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11209104 + 455625 = 3348^2 + 675^2 .

It is not a de Polignac number, because 11664729 - 29 = 11664217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11664693 and 11664702.

It is not an unprimeable number, because it can be changed into a prime (11664799) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7272 + ... + 8729.

It is an arithmetic number, because the mean of its divisors is an integer number (1249299).

Almost surely, 211664729 is an apocalyptic number.

It is an amenable number.

11664729 is a deficient number, since it is larger than the sum of its proper divisors (5825457).

11664729 is an frugal number, since it uses more digits than its factorization.

11664729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16019 (or 16004 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11664729 is about 3415.3665981853. The cubic root of 11664729 is about 226.7905135866.

It can be divided in two parts, 11664 and 729, that multiplied together give a 4-th power (8503056 = 544).

The spelling of 11664729 in words is "eleven million, six hundred sixty-four thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 16001 48003 144009 432027 1296081 3888243 11664729