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12240648 = 23327149163
BaseRepresentation
bin101110101100…
…011100001000
3212000220000100
4232230130020
511113200043
61114205400
7206021010
oct56543410
925026010
1012240648
116a00642
124123860
1326c76b4
1418a8c40
15111bcd3
hexbac708

12240648 has 96 divisors (see below), whose sum is σ = 38376000. Its totient is φ = 3452544.

The previous prime is 12240643. The next prime is 12240659. The reversal of 12240648 is 84604221.

12240648 is a `hidden beast` number, since 12 + 2 + 4 + 0 + 648 = 666.

It is a super-3 number, since 3×122406483 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12240643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75015 + ... + 75177.

It is an arithmetic number, because the mean of its divisors is an integer number (399750).

Almost surely, 212240648 is an apocalyptic number.

12240648 is a gapful number since it is divisible by the number (18) 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 12240648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188000).

12240648 is an abundant number, since it is smaller than the sum of its proper divisors (26135352).

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

12240648 is a wasteful number, since it uses less digits than its factorization.

12240648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12240648 is about 3498.6637449175. The cubic root of 12240648 is about 230.4631373552.

Adding to 12240648 its reverse (84604221), we get a palindrome (96844869).

The spelling of 12240648 in words is "twelve million, two hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 149 163 168 252 298 326 447 489 504 596 652 894 978 1043 1141 1192 1304 1341 1467 1788 1956 2086 2282 2682 2934 3129 3423 3576 3912 4172 4564 5364 5868 6258 6846 8344 9128 9387 10269 10728 11736 12516 13692 18774 20538 24287 25032 27384 37548 41076 48574 72861 75096 82152 97148 145722 170009 194296 218583 291444 340018 437166 510027 582888 680036 874332 1020054 1360072 1530081 1748664 2040108 3060162 4080216 6120324 12240648