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12897144 = 2334131531
BaseRepresentation
bin110001001100…
…101101111000
3220021020120000
4301030231320
511300202034
61140233000
7214424001
oct61145570
926236500
1012897144
1173098a7
12439b760
132897460
1419da1a8
1511eb599
hexc4cb78

12897144 has 80 divisors (see below), whose sum is σ = 38928120. Its totient is φ = 3965760.

The previous prime is 12897103. The next prime is 12897163. The reversal of 12897144 is 44179821.

12897144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12897099 and 12897108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7659 + ... + 9189.

Almost surely, 212897144 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 12897144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19464060).

12897144 is an abundant number, since it is smaller than the sum of its proper divisors (26030976).

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

12897144 is a wasteful number, since it uses less digits than its factorization.

12897144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1549 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12897144 is about 3591.2593891280. The cubic root of 12897144 is about 234.5117007329.

It can be divided in two parts, 12897 and 144, that added together give a triangular number (13041 = T161).

The spelling of 12897144 in words is "twelve million, eight hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 1531 2106 2808 3062 4212 4593 6124 8424 9186 12248 13779 18372 19903 27558 36744 39806 41337 55116 59709 79612 82674 110232 119418 124011 159224 165348 179127 238836 248022 330696 358254 477672 496044 537381 716508 992088 1074762 1433016 1612143 2149524 3224286 4299048 6448572 12897144