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12330240 = 283513219
BaseRepresentation
bin101111000010…
…010100000000
3212012102220120
4233002110000
511124031430
61120140240
7206543136
oct57022400
925172816
1012330240
116a6198a
124167680
132729400
1418cd756
151138610
hexbc2500

12330240 has 216 divisors, whose sum is σ = 44886240. Its totient is φ = 2875392.

The previous prime is 12330209. The next prime is 12330247. The reversal of 12330240 is 4203321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330247) 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, 648951 + ... + 648969.

Almost surely, 212330240 is an apocalyptic number.

12330240 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 12330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22443120).

12330240 is an abundant number, since it is smaller than the sum of its proper divisors (32556000).

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

12330240 is a wasteful number, since it uses less digits than its factorization.

12330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 12330240 is about 3511.4441473559. Note that the first 3 decimals coincide. The cubic root of 12330240 is about 231.0240412751.

Adding to 12330240 its reverse (4203321), we get a palindrome (16533561).

The spelling of 12330240 in words is "twelve million, three hundred thirty thousand, two hundred forty".