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12408330 = 23511191979
BaseRepresentation
bin101111010101…
…011000001010
3212100102000210
4233111120022
511134031310
61121541550
7210316614
oct57253012
925312023
1012408330
117005620
1241a48b6
132755b0c
14190ddb4
151151820
hexbd560a

12408330 has 64 divisors (see below), whose sum is σ = 34214400. Its totient is φ = 2848320.

The previous prime is 12408313. The next prime is 12408343. The reversal of 12408330 is 3380421.

It is a happy number.

12408330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12408297 and 12408306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5281 + ... + 7259.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 212408330 is an apocalyptic number.

12408330 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 12408330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17107200).

12408330 is an abundant number, since it is smaller than the sum of its proper divisors (21806070).

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

12408330 is a wasteful number, since it uses less digits than its factorization.

12408330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12408330 is about 3522.5459542780. The cubic root of 12408330 is about 231.5107232242.

Adding to 12408330 its reverse (3380421), we get a palindrome (15788751).

The spelling of 12408330 in words is "twelve million, four hundred eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 1979 2090 3135 3958 5937 6270 9895 11874 19790 21769 29685 37601 43538 59370 65307 75202 108845 112803 130614 188005 217690 225606 326535 376010 413611 564015 653070 827222 1128030 1240833 2068055 2481666 4136110 6204165 12408330