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12771328 = 2131559
BaseRepresentation
bin110000101110…
…000000000000
3220000211222011
4300232000000
511232140303
61133422304
7213361123
oct60560000
926024864
1012771328
117233319
12433a994
1328520cb
1419a63ba
1511c416d
hexc2e000

12771328 has 28 divisors (see below), whose sum is σ = 25557480. Its totient is φ = 6381568.

The previous prime is 12771323. The next prime is 12771329. The reversal of 12771328 is 82317721.

It is a self number, because there is not a number n which added to its sum of digits gives 12771328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7413 + ... + 8971.

Almost surely, 212771328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778740).

12771328 is an abundant number, since it is smaller than the sum of its proper divisors (12786152).

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

12771328 is an frugal number, since it uses more digits than its factorization.

12771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1561 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 12771328 is about 3573.6994837283. The cubic root of 12771328 is about 233.7466271545.

The spelling of 12771328 in words is "twelve million, seven hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1559 2048 3118 4096 6236 8192 12472 24944 49888 99776 199552 399104 798208 1596416 3192832 6385664 12771328