Search a number
-
+
12281568 = 253132757
BaseRepresentation
bin101110110110…
…011011100000
3212002222010220
4232312123200
511121002233
61115123040
7206251215
oct56663340
925088126
1012281568
116a29362
124143480
132710200
1418b9b0c
151128eb3
hexbb66e0

12281568 has 72 divisors (see below), whose sum is σ = 34955928. Its totient is φ = 3773952.

The previous prime is 12281539. The next prime is 12281573. The reversal of 12281568 is 86518221.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15846 + ... + 16602.

It is an arithmetic number, because the mean of its divisors is an integer number (485499).

Almost surely, 212281568 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 12281568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477964).

12281568 is an abundant number, since it is smaller than the sum of its proper divisors (22674360).

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

12281568 is a wasteful number, since it uses less digits than its factorization.

12281568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 775 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 12281568 is about 3504.5068126628. The cubic root of 12281568 is about 230.7196614216.

Adding to 12281568 its reverse (86518221), we get a palindrome (98799789).

The spelling of 12281568 in words is "twelve million, two hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 757 1014 1248 1352 1514 2028 2271 2704 3028 4056 4542 5408 6056 8112 9084 9841 12112 16224 18168 19682 24224 29523 36336 39364 59046 72672 78728 118092 127933 157456 236184 255866 314912 383799 472368 511732 767598 944736 1023464 1535196 2046928 3070392 4093856 6140784 12281568