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12427605 = 325277997
BaseRepresentation
bin101111011010…
…000101010101
3212101101110200
4233122011111
511140140410
61122211113
7210430041
oct57320525
925341420
1012427605
117019053
1241b3a99
132761818
141917021
1511573c0
hexbda155

12427605 has 24 divisors (see below), whose sum is σ = 21640632. Its totient is φ = 6597504.

The previous prime is 12427603. The next prime is 12427607. The reversal of 12427605 is 50672421.

12427605 is a `hidden beast` number, since 12 + 42 + 7 + 605 = 666.

12427605 is a nontrivial binomial coefficient, being equal to C(4986, 2).

It is an interprime number because it is at equal distance from previous prime (12427603) and next prime (12427607).

It can be written as a sum of positive squares in 4 ways, for example, as 1418481 + 11009124 = 1191^2 + 3318^2 .

It is not a de Polignac number, because 12427605 - 21 = 12427603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427603) 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 23 ways as a sum of consecutive naturals, for example, 11967 + ... + 12963.

It is an arithmetic number, because the mean of its divisors is an integer number (901693).

Almost surely, 212427605 is an apocalyptic number.

12427605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12427605 is the 4985-th triangular number and also the 2493-rd hexagonal number.

It is an amenable number.

12427605 is a deficient number, since it is larger than the sum of its proper divisors (9213027).

12427605 is a wasteful number, since it uses less digits than its factorization.

12427605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12427605 is about 3525.2808398764. The cubic root of 12427605 is about 231.6305368381.

The spelling of 12427605 in words is "twelve million, four hundred twenty-seven thousand, six hundred five".

Divisors: 1 3 5 9 15 45 277 831 997 1385 2493 2991 4155 4985 8973 12465 14955 44865 276169 828507 1380845 2485521 4142535 12427605