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12680085 = 3511313767
BaseRepresentation
bin110000010111…
…101110010101
3212212012210210
4300113232111
511221230320
61131440033
7212531115
oct60275625
925765723
1012680085
117180810
1242b6019
13281c712
141981045
1511a70e0
hexc17b95

12680085 has 64 divisors (see below), whose sum is σ = 23814144. Its totient is φ = 5702400.

The previous prime is 12680077. The next prime is 12680117. The reversal of 12680085 is 58008621.

It is not a de Polignac number, because 12680085 - 23 = 12680077 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 189222 + ... + 189288.

It is an arithmetic number, because the mean of its divisors is an integer number (372096).

Almost surely, 212680085 is an apocalyptic number.

12680085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12680085 is a deficient number, since it is larger than the sum of its proper divisors (11134059).

12680085 is a wasteful number, since it uses less digits than its factorization.

12680085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 12680085 is about 3560.9106981220. The cubic root of 12680085 is about 233.1886393162.

The spelling of 12680085 in words is "twelve million, six hundred eighty thousand, eighty-five".

Divisors: 1 3 5 11 15 31 33 37 55 67 93 111 155 165 185 201 335 341 407 465 555 737 1005 1023 1147 1221 1705 2035 2077 2211 2479 3441 3685 5115 5735 6105 6231 7437 10385 11055 12395 12617 17205 22847 27269 31155 37185 37851 63085 68541 76849 81807 114235 136345 189255 230547 342705 384245 409035 845339 1152735 2536017 4226695 12680085