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12304260 = 22325174021
BaseRepresentation
bin101110111011…
…111110000100
3212011010021100
4232323332010
511122214020
61115420100
7206404323
oct56737604
925133240
1012304260
116a44411
124154630
13271a637
1418c40ba
151130a90
hexbbbf84

12304260 has 72 divisors (see below), whose sum is σ = 39528216. Its totient is φ = 3087360.

The previous prime is 12304219. The next prime is 12304261. The reversal of 12304260 is 6240321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 11819844 = 696^2 + 3438^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304261) 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, 1050 + ... + 5070.

It is an arithmetic number, because the mean of its divisors is an integer number (549003).

Almost surely, 212304260 is an apocalyptic number.

12304260 is a gapful number since it is divisible by the number (10) 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 12304260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764108).

12304260 is an abundant number, since it is smaller than the sum of its proper divisors (27223956).

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

12304260 is a wasteful number, since it uses less digits than its factorization.

12304260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4048 counting only the distinct ones).

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

The square root of 12304260 is about 3507.7428640081. The cubic root of 12304260 is about 230.8616701460.

Adding to 12304260 its reverse (6240321), we get a palindrome (18544581).

The spelling of 12304260 in words is "twelve million, three hundred four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4021 8042 12063 16084 20105 24126 36189 40210 48252 60315 68357 72378 80420 120630 136714 144756 180945 205071 241260 273428 341785 361890 410142 615213 683570 723780 820284 1025355 1230426 1367140 2050710 2460852 3076065 4101420 6152130 12304260