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12260417 = 1317291913
BaseRepresentation
bin101110110001…
…010001000001
3212001220010112
4232301101001
511114313132
61114441105
7206132441
oct56612101
925056115
1012260417
116a14484
124133195
1327036b0
1418b2121
151122ab2
hexbb1441

12260417 has 16 divisors (see below), whose sum is σ = 14469840. Its totient is φ = 10278912.

The previous prime is 12260411. The next prime is 12260419. The reversal of 12260417 is 71406221.

12260417 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 364816 + 11895601 = 604^2 + 3449^2 .

It is a cyclic number.

It is not a de Polignac number, because 12260417 - 24 = 12260401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12260392 and 12260401.

It is not an unprimeable number, because it can be changed into a prime (12260411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5453 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (904365).

Almost surely, 212260417 is an apocalyptic number.

12260417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12260417 is a deficient number, since it is larger than the sum of its proper divisors (2209423).

12260417 is a wasteful number, since it uses less digits than its factorization.

12260417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12260417 is about 3501.4878266246. The cubic root of 12260417 is about 230.5871388312.

Adding to 12260417 its reverse (71406221), we get a palindrome (83666638).

The spelling of 12260417 in words is "twelve million, two hundred sixty thousand, four hundred seventeen".

Divisors: 1 13 17 29 221 377 493 1913 6409 24869 32521 55477 422773 721201 943109 12260417