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12441330 = 2335115971
BaseRepresentation
bin101111011101…
…011011110010
3212102002022000
4233131123302
511141110310
61122354430
7210515046
oct57353362
925362260
1012441330
1170283a0
1241bba16
132767b45
14191c026
15115b4c0
hexbdd6f2

12441330 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 2923200.

The previous prime is 12441329. The next prime is 12441349. The reversal of 12441330 is 3314421.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175195 + ... + 175265.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 212441330 is an apocalyptic number.

12441330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12441330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

12441330 is an abundant number, since it is smaller than the sum of its proper divisors (24883470).

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

12441330 is a wasteful number, since it uses less digits than its factorization.

12441330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12441330 is about 3527.2269561229. The cubic root of 12441330 is about 231.7157760964.

Adding to 12441330 its reverse (3314421), we get a palindrome (15755751).

The spelling of 12441330 in words is "twelve million, four hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 59 66 71 90 99 110 118 135 142 165 177 198 213 270 295 297 330 354 355 426 495 531 590 594 639 649 710 781 885 990 1062 1065 1278 1298 1485 1562 1593 1770 1917 1947 2130 2343 2655 2970 3186 3195 3245 3834 3894 3905 4189 4686 5310 5841 6390 6490 7029 7810 7965 8378 9585 9735 11682 11715 12567 14058 15930 17523 19170 19470 20945 21087 23430 25134 29205 35046 35145 37701 41890 42174 46079 58410 62835 70290 75402 87615 92158 105435 113103 125670 138237 175230 188505 210870 226206 230395 276474 377010 414711 460790 565515 691185 829422 1131030 1244133 1382370 2073555 2488266 4147110 6220665 12441330