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12771513 = 34295437
BaseRepresentation
bin110000101110…
…000010111001
3220000212020000
4300232002321
511232142023
61133423213
7213361506
oct60560271
926025200
1012771513
117233477
12433ab09
132852211
1419a64ad
1511c4243
hexc2e0b9

12771513 has 20 divisors (see below), whose sum is σ = 19739940. Its totient is φ = 8219232.

The previous prime is 12771511. The next prime is 12771523. The reversal of 12771513 is 31517721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6953769 + 5817744 = 2637^2 + 2412^2 .

It is not a de Polignac number, because 12771513 - 21 = 12771511 is a prime.

It is a super-2 number, since 2×127715132 = 326223088618338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12771511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 370 + ... + 5067.

It is an arithmetic number, because the mean of its divisors is an integer number (986997).

Almost surely, 212771513 is an apocalyptic number.

It is an amenable number.

12771513 is a deficient number, since it is larger than the sum of its proper divisors (6968427).

12771513 is an equidigital number, since it uses as much as digits as its factorization.

12771513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5469 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 12771513 is about 3573.7253671764. The cubic root of 12771513 is about 233.7477558003.

The spelling of 12771513 in words is "twelve million, seven hundred seventy-one thousand, five hundred thirteen".

Divisors: 1 3 9 27 29 81 87 261 783 2349 5437 16311 48933 146799 157673 440397 473019 1419057 4257171 12771513