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12441132 = 22321189353
BaseRepresentation
bin101111011101…
…011000101100
3212102002000200
4233131120230
511141104012
61122353500
7210514344
oct57353054
925362020
1012441132
117028230
1241bb890
132767a22
14191bd24
15115b3dc
hexbdd62c

12441132 has 72 divisors (see below), whose sum is σ = 34791120. Its totient is φ = 3717120.

The previous prime is 12441131. The next prime is 12441173. The reversal of 12441132 is 23114421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12441131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35068 + ... + 35420.

It is an arithmetic number, because the mean of its divisors is an integer number (483210).

Almost surely, 212441132 is an apocalyptic number.

12441132 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 12441132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395560).

12441132 is an abundant number, since it is smaller than the sum of its proper divisors (22349988).

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

12441132 is a wasteful number, since it uses less digits than its factorization.

12441132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 458 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12441132 is about 3527.1988886367. The cubic root of 12441132 is about 231.7145468611.

Adding to 12441132 its reverse (23114421), we get a palindrome (35555553).

Subtracting 12441132 from its reverse (23114421), we obtain a square (10673289 = 32672).

It can be divided in two parts, 12 and 441132, that added together give a palindrome (441144).

The spelling of 12441132 in words is "twelve million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 353 356 396 534 706 801 979 1059 1068 1412 1602 1958 2118 2937 3177 3204 3883 3916 4236 5874 6354 7766 8811 11649 11748 12708 15532 17622 23298 31417 34947 35244 46596 62834 69894 94251 125668 139788 188502 282753 345587 377004 565506 691174 1036761 1131012 1382348 2073522 3110283 4147044 6220566 12441132