Search a number
-
+
12310320 = 2435114663
BaseRepresentation
bin101110111101…
…011100110000
3212011102120210
4232331130300
511122412240
61115504120
7206431101
oct56753460
925142523
1012310320
116a48a20
124158040
132720319
1418c63a8
151132780
hexbbd730

12310320 has 80 divisors (see below), whose sum is σ = 41640192. Its totient is φ = 2983680.

The previous prime is 12310303. The next prime is 12310321. The reversal of 12310320 is 2301321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12310296 and 12310305.

It is not an unprimeable number, because it can be changed into a prime (12310321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309 + ... + 4971.

Almost surely, 212310320 is an apocalyptic number.

12310320 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 12310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820096).

12310320 is an abundant number, since it is smaller than the sum of its proper divisors (29329872).

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

12310320 is a wasteful number, since it uses less digits than its factorization.

12310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12310320 is about 3508.6065610154. The cubic root of 12310320 is about 230.8995646667.

Adding to 12310320 its reverse (2301321), we get a palindrome (14611641).

The spelling of 12310320 in words is "twelve million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4663 9326 13989 18652 23315 27978 37304 46630 51293 55956 69945 74608 93260 102586 111912 139890 153879 186520 205172 223824 256465 279780 307758 373040 410344 512930 559560 615516 769395 820688 1025860 1119120 1231032 1538790 2051720 2462064 3077580 4103440 6155160 12310320