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13466431 = 11172331101
BaseRepresentation
bin110011010111…
…101100111111
3221100011110201
4303113230333
511421411211
61200344331
7222314506
oct63275477
927304421
1013466431
117668590
1246150a7
132a36604
141b0783d
1512b00c1
hexcd7b3f

13466431 has 32 divisors (see below), whose sum is σ = 16920576. Its totient is φ = 10560000.

The previous prime is 13466429. The next prime is 13466441.

13466431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13466431 - 21 = 13466429 is a prime.

It is a super-2 number, since 2×134664312 = 362689527755522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13466431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13466441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133281 + ... + 133381.

It is an arithmetic number, because the mean of its divisors is an integer number (528768).

Almost surely, 213466431 is an apocalyptic number.

13466431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13466431 is a deficient number, since it is larger than the sum of its proper divisors (3454145).

13466431 is a wasteful number, since it uses less digits than its factorization.

13466431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 5184, while the sum is 28.

The square root of 13466431 is about 3669.6636085614. The cubic root of 13466431 is about 237.9126329986.

It can be divided in two parts, 1346 and 6431, that added together give a palindrome (7777).

The spelling of 13466431 in words is "thirteen million, four hundred sixty-six thousand, four hundred thirty-one".

Divisors: 1 11 17 23 31 101 187 253 341 391 527 713 1111 1717 2323 3131 4301 5797 7843 12121 18887 25553 34441 39491 53227 72013 133331 434401 585497 792143 1224221 13466431