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13860729 = 32172732
BaseRepresentation
bin110100110111…
…111101111001
3222002012100100
4310313331321
512022020404
61213030013
7225546201
oct64677571
928065310
1013860729
117907853
124785309
132b43c1c
141bab401
15133bd39
hexd37f79

13860729 has 27 divisors (see below), whose sum is σ = 21563373. Its totient is φ = 8577792.

The previous prime is 13860727. The next prime is 13860731. The reversal of 13860729 is 92706831.

The square root of 13860729 is 3723.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (13860727) and next prime (13860731).

It can be written as a sum of positive squares in 4 ways, for example, as 1750329 + 12110400 = 1323^2 + 3480^2 .

It is not a de Polignac number, because 13860729 - 21 = 13860727 is a prime.

It is a super-2 number, since 2×138607292 = 384239616822882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13860693 and 13860702.

It is not an unprimeable number, because it can be changed into a prime (13860727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189837 + ... + 189909.

Almost surely, 213860729 is an apocalyptic number.

13860729 is the 3723-rd square number.

13860729 is the 1862-nd centered octagonal number.

It is an amenable number.

13860729 is a deficient number, since it is larger than the sum of its proper divisors (7702644).

13860729 is an equidigital number, since it uses as much as digits as its factorization.

13860729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

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

The cubic root of 13860729 is about 240.2123641174.

Multiplying 13860729 by its sum of digits (36), we get a square (498986244 = 223382).

The spelling of 13860729 in words is "thirteen million, eight hundred sixty thousand, seven hundred twenty-nine".

Divisors: 1 3 9 17 51 73 153 219 289 657 867 1241 2601 3723 5329 11169 15987 21097 47961 63291 90593 189873 271779 815337 1540081 4620243 13860729