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12771486 = 23371323113
BaseRepresentation
bin110000101110…
…000010011110
3220000212012000
4300232002132
511232141421
61133423130
7213361440
oct60560236
926025160
1012771486
117233452
12433aaa6
1328521c0
1419a6490
1511c4226
hexc2e09e

12771486 has 128 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 3193344.

The previous prime is 12771481. The next prime is 12771487. The reversal of 12771486 is 68417721.

It is a super-2 number, since 2×127714862 = 326221709296392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12771486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771481) 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, 112966 + ... + 113078.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 212771486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

12771486 is an abundant number, since it is smaller than the sum of its proper divisors (24000354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12771486 is a wasteful number, since it uses less digits than its factorization.

12771486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 12771486 is about 3573.7215896038. The cubic root of 12771486 is about 233.7475910797.

The spelling of 12771486 in words is "twelve million, seven hundred seventy-one thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 27 39 42 46 54 63 69 78 91 113 117 126 138 161 182 189 207 226 234 273 299 322 339 351 378 414 483 546 598 621 678 702 791 819 897 966 1017 1242 1449 1469 1582 1638 1794 2034 2093 2373 2457 2599 2691 2898 2938 3051 4186 4347 4407 4746 4914 5198 5382 6102 6279 7119 7797 8073 8694 8814 10283 12558 13221 14238 15594 16146 18193 18837 20566 21357 23391 26442 30849 33787 36386 37674 39663 42714 46782 54579 56511 61698 67574 70173 79326 92547 101361 109158 113022 140346 163737 185094 202722 236509 277641 304083 327474 473018 491211 555282 608166 709527 912249 982422 1419054 1824498 2128581 4257162 6385743 12771486