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13141568 = 261121697
BaseRepresentation
bin110010001000…
…011001000000
3220201122211202
4302020121000
511331012233
61145400332
7216462416
oct62103100
926648752
1013141568
117466500
1244990a8
13295179b
141a612b6
151248be8
hexc88640

13141568 has 42 divisors (see below), whose sum is σ = 28680918. Its totient is φ = 5969920.

The previous prime is 13141567. The next prime is 13141573. The reversal of 13141568 is 86514131.

It can be written as a sum of positive squares in only one way, i.e., 13017664 + 123904 = 3608^2 + 352^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13141568.

It is not an unprimeable number, because it can be changed into a prime (13141567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6896 + ... + 8592.

It is an arithmetic number, because the mean of its divisors is an integer number (682879).

Almost surely, 213141568 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 13141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14340459).

13141568 is an abundant number, since it is smaller than the sum of its proper divisors (15539350).

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

13141568 is a wasteful number, since it uses less digits than its factorization.

13141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1710 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 13141568 is about 3625.1300666321. The cubic root of 13141568 is about 235.9839115720.

Adding to 13141568 its reverse (86514131), we get a palindrome (99655699).

It can be divided in two parts, 1314 and 1568, that added together give a palindrome (2882).

The spelling of 13141568 in words is "thirteen million, one hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1697 1936 3394 3872 6788 7744 13576 18667 27152 37334 54304 74668 108608 149336 205337 298672 410674 597344 821348 1194688 1642696 3285392 6570784 13141568