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12642461 = 135359311
BaseRepresentation
bin110000001110…
…100010011101
3212210022012022
4300032202131
511214024321
61130545525
7212313326
oct60164235
925708168
1012642461
117155517
1242982a5
132808560
14197144d
15119adab
hexc0e89d

12642461 has 16 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 11219520.

The previous prime is 12642457. The next prime is 12642491. The reversal of 12642461 is 16424621.

12642461 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 12642461 - 22 = 12642457 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12642461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642491) 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 15 ways as a sum of consecutive naturals, for example, 40496 + ... + 40806.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 212642461 is an apocalyptic number.

It is an amenable number.

12642461 is a deficient number, since it is larger than the sum of its proper divisors (1509859).

12642461 is a wasteful number, since it uses less digits than its factorization.

12642461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its digits is 2304, while the sum is 26.

The square root of 12642461 is about 3555.6238552468. The cubic root of 12642461 is about 232.9577738506.

It can be divided in two parts, 1 and 2642461, that added together give a palindrome (2642462).

The spelling of 12642461 in words is "twelve million, six hundred forty-two thousand, four hundred sixty-one".

Divisors: 1 13 53 59 311 689 767 3127 4043 16483 18349 40651 214279 238537 972497 12642461