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12180330 = 23251719419
BaseRepresentation
bin101110011101…
…101101101010
3211220211021100
4232131231222
511104232310
61113022230
7205350111
oct56355552
924824240
1012180330
11696a298
1240b4976
1326a60c6
141890c78
151108ec0
hexb9db6a

12180330 has 96 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 2889216.

The previous prime is 12180323. The next prime is 12180331. The reversal of 12180330 is 3308121.

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

It is not an unprimeable number, because it can be changed into a prime (12180331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28861 + ... + 29279.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 212180330 is an apocalyptic number.

12180330 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 12180330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

12180330 is an abundant number, since it is smaller than the sum of its proper divisors (23200470).

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

12180330 is a wasteful number, since it uses less digits than its factorization.

12180330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12180330 is about 3490.0329511338. The cubic root of 12180330 is about 230.0839643031.

Adding to 12180330 its reverse (3308121), we get a palindrome (15488451).

The spelling of 12180330 in words is "twelve million, one hundred eighty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 419 510 570 646 765 838 855 969 1257 1530 1615 1710 1938 2095 2514 2907 3230 3771 4190 4845 5814 6285 7123 7542 7961 9690 12570 14246 14535 15922 18855 21369 23883 29070 35615 37710 39805 42738 47766 64107 71230 71649 79610 106845 119415 128214 135337 143298 213690 238830 270674 320535 358245 406011 641070 676685 716490 812022 1218033 1353370 2030055 2436066 4060110 6090165 12180330