Search a number
-
+
13441008 = 2437109367
BaseRepresentation
bin110011010001…
…011111110000
3221021212121010
4303101133300
511420103013
61200030520
7222150420
oct63213760
927255533
1013441008
117650479
124602440
132a27b79
141adc480
1512a77c3
hexcd17f0

13441008 has 80 divisors (see below), whose sum is σ = 40156160. Its totient is φ = 3794688.

The previous prime is 13441003. The next prime is 13441009. The reversal of 13441008 is 80014431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36441 + ... + 36807.

It is an arithmetic number, because the mean of its divisors is an integer number (501952).

Almost surely, 213441008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13441008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20078080).

13441008 is an abundant number, since it is smaller than the sum of its proper divisors (26715152).

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

13441008 is a wasteful number, since it uses less digits than its factorization.

13441008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13441008 is about 3666.1980306579. The cubic root of 13441008 is about 237.7628218839.

Adding to 13441008 its reverse (80014431), we get a palindrome (93455439).

The spelling of 13441008 in words is "thirteen million, four hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 367 436 654 734 763 872 1101 1308 1468 1526 1744 2202 2289 2569 2616 2936 3052 4404 4578 5138 5232 5872 6104 7707 8808 9156 10276 12208 15414 17616 18312 20552 30828 36624 40003 41104 61656 80006 120009 123312 160012 240018 280021 320024 480036 560042 640048 840063 960072 1120084 1680126 1920144 2240168 3360252 4480336 6720504 13441008