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12260640 = 253574189
BaseRepresentation
bin101110110001…
…010100100000
3212001220102210
4232301110200
511114320030
61114442120
7206133210
oct56612440
925056383
1012260640
116a14667
124133340
132703822
1418b2240
151122bb0
hexbb1520

12260640 has 192 divisors, whose sum is σ = 45722880. Its totient is φ = 2703360.

The previous prime is 12260629. The next prime is 12260701. The reversal of 12260640 is 4606221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 137716 + ... + 137804.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 212260640 is an apocalyptic number.

12260640 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 12260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

12260640 is an abundant number, since it is smaller than the sum of its proper divisors (33462240).

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

12260640 is a wasteful number, since it uses less digits than its factorization.

12260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

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

The square root of 12260640 is about 3501.5196700861. The cubic root of 12260640 is about 230.5885368429.

Adding to 12260640 its reverse (4606221), we get a palindrome (16866861).

The spelling of 12260640 in words is "twelve million, two hundred sixty thousand, six hundred forty".