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12712005 = 3351729191
BaseRepresentation
bin110000011111…
…100001000101
3212220211121000
4300133201011
511223241010
61132243513
7213023145
oct60374105
925824530
1012712005
1171a2799
124310599
1328310c7
14198c925
1511b17c0
hexc1f845

12712005 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 6128640.

The previous prime is 12712003. The next prime is 12712033. The reversal of 12712005 is 50021721.

It is not a de Polignac number, because 12712005 - 21 = 12712003 is a prime.

It is a super-2 number, since 2×127120052 = 323190142240050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12712003) 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 63 ways as a sum of consecutive naturals, for example, 66460 + ... + 66650.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 212712005 is an apocalyptic number.

12712005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12712005 is a deficient number, since it is larger than the sum of its proper divisors (12171195).

12712005 is a wasteful number, since it uses less digits than its factorization.

12712005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12712005 is about 3565.3898805040. The cubic root of 12712005 is about 233.3841465299.

Adding to 12712005 its reverse (50021721), we get a palindrome (62733726).

The spelling of 12712005 in words is "twelve million, seven hundred twelve thousand, five".

Divisors: 1 3 5 9 15 17 27 29 45 51 85 87 135 145 153 191 255 261 435 459 493 573 765 783 955 1305 1479 1719 2295 2465 2865 3247 3915 4437 5157 5539 7395 8595 9741 13311 16235 16617 22185 25785 27695 29223 48705 49851 66555 83085 87669 94163 146115 149553 249255 282489 438345 470815 747765 847467 1412445 2542401 4237335 12712005