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12580451 = 131931253
BaseRepresentation
bin101111111111…
…011001100011
3212200011010122
4233333121203
511210033301
61125350455
7211634462
oct57773143
925604118
1012580451
117112974
12426842b
1327b6270
1419569d9
15118781b
hexbff663

12580451 has 24 divisors (see below), whose sum is σ = 15014160. Its totient is φ = 10445760.

The previous prime is 12580439. The next prime is 12580483. The reversal of 12580451 is 15408521.

12580451 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12580451 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12580451.

It is not an unprimeable number, because it can be changed into a prime (12580411) 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 23 ways as a sum of consecutive naturals, for example, 237341 + ... + 237393.

It is an arithmetic number, because the mean of its divisors is an integer number (625590).

Almost surely, 212580451 is an apocalyptic number.

12580451 is a deficient number, since it is larger than the sum of its proper divisors (2433709).

12580451 is a wasteful number, since it uses less digits than its factorization.

12580451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 12580451 is about 3546.8931475307. The cubic root of 12580451 is about 232.5762712729.

Adding to 12580451 its reverse (15408521), we get a palindrome (27988972).

It can be divided in two parts, 12580 and 451, that added together give a palindrome (13031).

The spelling of 12580451 in words is "twelve million, five hundred eighty thousand, four hundred fifty-one".

Divisors: 1 13 19 31 53 247 403 589 689 961 1007 1643 7657 12493 13091 18259 21359 31217 50933 237367 405821 662129 967727 12580451