Search a number
-
+
12330320 = 245791951
BaseRepresentation
bin101111000010…
…010101010000
3212012110000112
4233002111100
511124032240
61120140452
7206543312
oct57022520
925173015
1012330320
116a61a52
124167728
132729462
1418cd7b2
151138665
hexbc2550

12330320 has 40 divisors (see below), whose sum is σ = 29045760. Its totient is φ = 4867200.

The previous prime is 12330313. The next prime is 12330337. The reversal of 12330320 is 2303321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12330295 and 12330304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5345 + ... + 7295.

It is an arithmetic number, because the mean of its divisors is an integer number (726144).

Almost surely, 212330320 is an apocalyptic number.

12330320 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 12330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522880).

12330320 is an abundant number, since it is smaller than the sum of its proper divisors (16715440).

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

12330320 is a wasteful number, since it uses less digits than its factorization.

12330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 12330320 is about 3511.4555386620. The cubic root of 12330320 is about 231.0245409108.

Adding to 12330320 its reverse (2303321), we get a palindrome (14633641).

The spelling of 12330320 in words is "twelve million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 1951 3160 3902 6320 7804 9755 15608 19510 31216 39020 78040 154129 156080 308258 616516 770645 1233032 1541290 2466064 3082580 6165160 12330320