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12987744 = 2537211251
BaseRepresentation
bin110001100010…
…110101100000
3220102211211120
4301202311200
511311101434
61142212240
7215252100
oct61426540
926384746
1012987744
117370980
124424080
1328c9773
141a21200
151218349
hexc62d60

12987744 has 144 divisors (see below), whose sum is σ = 43436736. Its totient is φ = 3360000.

The previous prime is 12987713. The next prime is 12987761. The reversal of 12987744 is 44778921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12987696 and 12987705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51619 + ... + 51869.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 212987744 is an apocalyptic number.

12987744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12987744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368).

12987744 is an abundant number, since it is smaller than the sum of its proper divisors (30448992).

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

12987744 is a wasteful number, since it uses less digits than its factorization.

12987744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 12987744 is about 3603.8512732908. The cubic root of 12987744 is about 235.0595533390.

It can be divided in two parts, 129877 and 44, that added together give a palindrome (129921).

The spelling of 12987744 in words is "twelve million, nine hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 251 264 294 308 336 352 392 462 502 528 539 588 616 672 753 784 924 1004 1056 1078 1176 1232 1506 1568 1617 1757 1848 2008 2156 2352 2464 2761 3012 3234 3514 3696 4016 4312 4704 5271 5522 6024 6468 7028 7392 8032 8283 8624 10542 11044 12048 12299 12936 14056 16566 17248 19327 21084 22088 24096 24598 25872 28112 33132 36897 38654 42168 44176 49196 51744 56224 57981 66264 73794 77308 84336 88352 98392 115962 132528 135289 147588 154616 168672 196784 231924 265056 270578 295176 309232 393568 405867 463848 541156 590352 618464 811734 927696 1082312 1180704 1623468 1855392 2164624 3246936 4329248 6493872 12987744