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12561417 = 3211314093
BaseRepresentation
bin101111111010…
…110000001001
3212122012000200
4233322300021
511203431132
61125122413
7211525131
oct57726011
925565020
1012561417
1170aa640
124259409
1327aa6bb
14194dac1
151181d7c
hexbfac09

12561417 has 24 divisors (see below), whose sum is σ = 20437248. Its totient is φ = 7365600.

The previous prime is 12561401. The next prime is 12561431. The reversal of 12561417 is 71416521.

It is a happy number.

It is not a de Polignac number, because 12561417 - 24 = 12561401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12561217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1023 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (851552).

Almost surely, 212561417 is an apocalyptic number.

It is an amenable number.

12561417 is a deficient number, since it is larger than the sum of its proper divisors (7875831).

12561417 is a wasteful number, since it uses less digits than its factorization.

12561417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4138 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 12561417 is about 3544.2089385362. The cubic root of 12561417 is about 232.4589174724.

Adding to 12561417 its reverse (71416521), we get a palindrome (83977938).

The spelling of 12561417 in words is "twelve million, five hundred sixty-one thousand, four hundred seventeen".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 4093 12279 36837 45023 126883 135069 380649 405207 1141947 1395713 4187139 12561417