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12732048 = 2432717743
BaseRepresentation
bin110000100100…
…011010010000
3212221212002100
4300210122100
511224411143
61132520400
7213135450
oct60443220
925855070
1012732048
11720685a
124320100
13283a274
141995d60
1511b76d3
hexc24690

12732048 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3419136.

The previous prime is 12732047. The next prime is 12732053. The reversal of 12732048 is 84023721.

It is not an unprimeable number, because it can be changed into a prime (12732047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16765 + ... + 17507.

Almost surely, 212732048 is an apocalyptic number.

12732048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12732048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

12732048 is an abundant number, since it is smaller than the sum of its proper divisors (30443760).

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

12732048 is a wasteful number, since it uses less digits than its factorization.

12732048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12732048 is about 3568.1995459895. The cubic root of 12732048 is about 233.5067409371.

Adding to 12732048 its reverse (84023721), we get a palindrome (96755769).

It can be divided in two parts, 1273 and 2048, that added together give a triangular number (3321 = T81).

The spelling of 12732048 in words is "twelve million, seven hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 743 816 952 1008 1071 1224 1428 1486 1904 2142 2229 2448 2856 2972 4284 4458 5201 5712 5944 6687 8568 8916 10402 11888 12631 13374 15603 17136 17832 20804 25262 26748 31206 35664 37893 41608 46809 50524 53496 62412 75786 83216 88417 93618 101048 106992 113679 124824 151572 176834 187236 202096 227358 249648 265251 303144 353668 374472 454716 530502 606288 707336 748944 795753 909432 1061004 1414672 1591506 1818864 2122008 3183012 4244016 6366024 12732048