Base | Representation |
---|---|
bin | 110001100010… |
… | …110101100000 |
3 | 220102211211120 |
4 | 301202311200 |
5 | 11311101434 |
6 | 1142212240 |
7 | 215252100 |
oct | 61426540 |
9 | 26384746 |
10 | 12987744 |
11 | 7370980 |
12 | 4424080 |
13 | 28c9773 |
14 | 1a21200 |
15 | 1218349 |
hex | c62d60 |
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".
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