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12871632 = 2432291171
BaseRepresentation
bin110001000110…
…011111010000
3220012221120010
4301012133100
511243343012
61135514520
7214256424
oct61063720
926187503
1012871632
1172a1714
124388a40
132888967
1419d0b84
1511e3c3c
hexc467d0

12871632 has 40 divisors (see below), whose sum is σ = 33425440. Its totient is φ = 4268160.

The previous prime is 12871631. The next prime is 12871637. The reversal of 12871632 is 23617821.

It is a self number, because there is not a number n which added to its sum of digits gives 12871632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12871631) 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 7 ways as a sum of consecutive naturals, for example, 10407 + ... + 11577.

It is an arithmetic number, because the mean of its divisors is an integer number (835636).

Almost surely, 212871632 is an apocalyptic number.

12871632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12871632 is an abundant number, since it is smaller than the sum of its proper divisors (20553808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12871632 is a wasteful number, since it uses less digits than its factorization.

12871632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1405 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 12871632 is about 3587.7056735468. The cubic root of 12871632 is about 234.3569684972.

The spelling of 12871632 in words is "twelve million, eight hundred seventy-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1171 1374 1832 2342 2748 3513 3664 4684 5496 7026 9368 10992 14052 18736 28104 56208 268159 536318 804477 1072636 1608954 2145272 3217908 4290544 6435816 12871632