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12771432 = 233419709
BaseRepresentation
bin110000101110…
…000001101000
3220000212010000
4300232001220
511232141212
61133423000
7213361332
oct60560150
926025100
1012771432
117233403
12433aa60
13285217b
1419a6452
1511c41dc
hexc2e068

12771432 has 40 divisors (see below), whose sum is σ = 35773650. Its totient is φ = 4256928.

The previous prime is 12771431. The next prime is 12771457. The reversal of 12771432 is 23417721.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10850436 + 1920996 = 3294^2 + 1386^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12771396 and 12771405.

It is not an unprimeable number, because it can be changed into a prime (12771431) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9207 + ... + 10502.

Almost surely, 212771432 is an apocalyptic number.

12771432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12771432 is an abundant number, since it is smaller than the sum of its proper divisors (23002218).

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

12771432 is a wasteful number, since it uses less digits than its factorization.

12771432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19727 (or 19714 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12771432 is about 3573.7140344465. The cubic root of 12771432 is about 233.7472616378.

It can be divided in two parts, 12771 and 432, that added together give a triangular number (13203 = T162).

The spelling of 12771432 in words is "twelve million, seven hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 19709 39418 59127 78836 118254 157672 177381 236508 354762 473016 532143 709524 1064286 1419048 1596429 2128572 3192858 4257144 6385716 12771432