Search a number
-
+
12143472 = 24311109211
BaseRepresentation
bin101110010100…
…101101110000
3211211221201020
4232110231300
511102042342
61112135440
7205134465
oct56245560
924757636
1012143472
116944630
124097580
1326923b3
14188166c
1510ed0ec
hexb94b70

12143472 has 80 divisors (see below), whose sum is σ = 34700160. Its totient is φ = 3628800.

The previous prime is 12143459. The next prime is 12143473. The reversal of 12143472 is 27434121.

It is a happy number.

12143472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (1344) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57447 + ... + 57657.

It is an arithmetic number, because the mean of its divisors is an integer number (433752).

Almost surely, 212143472 is an apocalyptic number.

12143472 is a gapful number since it is divisible by the number (12) 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 12143472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350080).

12143472 is an abundant number, since it is smaller than the sum of its proper divisors (22556688).

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

12143472 is a wasteful number, since it uses less digits than its factorization.

12143472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 12143472 is about 3484.7484844677. The cubic root of 12143472 is about 229.8516497662.

Adding to 12143472 its reverse (27434121), we get a palindrome (39577593).

The spelling of 12143472 in words is "twelve million, one hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 211 218 264 327 422 436 528 633 654 844 872 1199 1266 1308 1688 1744 2321 2398 2532 2616 3376 3597 4642 4796 5064 5232 6963 7194 9284 9592 10128 13926 14388 18568 19184 22999 27852 28776 37136 45998 55704 57552 68997 91996 111408 137994 183992 252989 275988 367984 505978 551976 758967 1011956 1103952 1517934 2023912 3035868 4047824 6071736 12143472