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12520431 = 3272112989
BaseRepresentation
bin101111110000…
…101111101111
3212120002210200
4233300233233
511201123211
61124204543
7211264500
oct57605757
925502720
1012520431
117081870
124239753
132794b51
14193cba7
151174b56
hexbf0bef

12520431 has 72 divisors (see below), whose sum is σ = 24008400. Its totient is φ = 6209280.

The previous prime is 12520421. The next prime is 12520447. The reversal of 12520431 is 13402521.

It is not a de Polignac number, because 12520431 - 25 = 12520399 is a prime.

It is a super-3 number, since 3×125204313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520421) 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 71 ways as a sum of consecutive naturals, for example, 140635 + ... + 140723.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 212520431 is an apocalyptic number.

12520431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12520431 is a deficient number, since it is larger than the sum of its proper divisors (11487969).

12520431 is a wasteful number, since it uses less digits than its factorization.

12520431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12520431 is about 3538.4221059676. The cubic root of 12520431 is about 232.2058159222.

Adding to 12520431 its reverse (13402521), we get a palindrome (25922952).

The spelling of 12520431 in words is "twelve million, five hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 21 29 33 49 63 77 87 89 99 147 203 231 261 267 319 441 539 609 623 693 801 957 979 1421 1617 1827 1869 2233 2581 2871 2937 4263 4361 4851 5607 6699 6853 7743 8811 12789 13083 15631 18067 20097 20559 23229 28391 39249 46893 47971 54201 61677 85173 126469 140679 143913 162603 198737 255519 379407 431739 596211 1138221 1391159 1788633 4173477 12520431