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12240257 = 31247271
BaseRepresentation
bin101110101100…
…010110000001
3212000212110212
4232230112001
511113142012
61114203505
7206016611
oct56542601
925025425
1012240257
116a00317
124123595
1326c7473
1418a8a41
15111bb22
hexbac581

12240257 has 12 divisors (see below), whose sum is σ = 12964608. Its totient is φ = 11550600.

The previous prime is 12240227. The next prime is 12240271. The reversal of 12240257 is 75204221.

It is a happy number.

It is not a de Polignac number, because 12240257 - 220 = 11191681 is a prime.

It is a Duffinian number.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12240227) 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 11 ways as a sum of consecutive naturals, for example, 45032 + ... + 45302.

It is an arithmetic number, because the mean of its divisors is an integer number (1080384).

Almost surely, 212240257 is an apocalyptic number.

It is an amenable number.

12240257 is a deficient number, since it is larger than the sum of its proper divisors (724351).

12240257 is an equidigital number, since it uses as much as digits as its factorization.

12240257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 12240257 is about 3498.6078659947. The cubic root of 12240257 is about 230.4606834534.

Adding to 12240257 its reverse (75204221), we get a palindrome (87444478).

The spelling of 12240257 in words is "twelve million, two hundred forty thousand, two hundred fifty-seven".

Divisors: 1 31 47 271 961 1457 8401 12737 45167 260431 394847 12240257