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12386153 = 135317977
BaseRepresentation
bin101111001111…
…111101101001
3212022021121102
4233033331221
511132324103
61121251145
7210165143
oct57177551
925267542
1012386153
116a9a99a
124193ab5
1327489b0
141905c93
151149e88
hexbcff69

12386153 has 8 divisors (see below), whose sum is σ = 13591368. Its totient is φ = 11217024.

The previous prime is 12386147. The next prime is 12386191. The reversal of 12386153 is 35168321.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 11202409 = 1088^2 + 3347^2 .

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

It is not a de Polignac number, because 12386153 - 212 = 12382057 is a prime.

It is a super-2 number, since 2×123861532 = 306833572278818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12386113) 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 7 ways as a sum of consecutive naturals, for example, 8300 + ... + 9677.

It is an arithmetic number, because the mean of its divisors is an integer number (1698921).

Almost surely, 212386153 is an apocalyptic number.

12386153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12386153 is a deficient number, since it is larger than the sum of its proper divisors (1205215).

12386153 is a wasteful number, since it uses less digits than its factorization.

12386153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18043.

The product of its digits is 4320, while the sum is 29.

The square root of 12386153 is about 3519.3966812509. The cubic root of 12386153 is about 231.3727171405.

The spelling of 12386153 in words is "twelve million, three hundred eighty-six thousand, one hundred fifty-three".

Divisors: 1 13 53 689 17977 233701 952781 12386153