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12318030 = 2325178397
BaseRepresentation
bin101110111111…
…010101001110
3212011211011100
4232333111032
511123134110
61120003530
7206462424
oct56772516
925154140
1012318030
116a5379a
1241605a6
13272399a
1418c9114
151134bc0
hexbbf54e

12318030 has 96 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 3022848.

The previous prime is 12317993. The next prime is 12318043. The reversal of 12318030 is 3081321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12317994 and 12318012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126942 + ... + 127038.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 212318030 is an apocalyptic number.

12318030 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 12318030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

12318030 is an abundant number, since it is smaller than the sum of its proper divisors (22355154).

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

12318030 is a wasteful number, since it uses less digits than its factorization.

12318030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

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

The square root of 12318030 is about 3509.7051158181. The cubic root of 12318030 is about 230.9477590304.

Adding to 12318030 its reverse (3081321), we get a palindrome (15399351).

It can be divided in two parts, 1231 and 8030, that added together give a cube (9261 = 213).

The spelling of 12318030 in words is "twelve million, three hundred eighteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 83 85 90 97 102 153 166 170 194 249 255 291 306 415 485 498 510 582 747 765 830 873 970 1245 1411 1455 1494 1530 1649 1746 2490 2822 2910 3298 3735 4233 4365 4947 7055 7470 8051 8245 8466 8730 9894 12699 14110 14841 16102 16490 21165 24153 24735 25398 29682 40255 42330 48306 49470 63495 72459 74205 80510 120765 126990 136867 144918 148410 241530 273734 362295 410601 684335 724590 821202 1231803 1368670 2053005 2463606 4106010 6159015 12318030