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12731328 = 263223312
BaseRepresentation
bin110000100100…
…001111000000
3212221211002200
4300210033000
511224400303
61132513200
7213133401
oct60441700
925854080
1012731328
117206265
12431b800
132839b3c
1419959a8
1511b73a3
hexc243c0

12731328 has 126 divisors (see below), whose sum is σ = 39346632. Its totient is φ = 3928320.

The previous prime is 12731281. The next prime is 12731339. The reversal of 12731328 is 82313721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 410673 + ... + 410703.

Almost surely, 212731328 is an apocalyptic number.

12731328 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 12731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19673316).

12731328 is an abundant number, since it is smaller than the sum of its proper divisors (26615304).

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

12731328 is a wasteful number, since it uses less digits than its factorization.

12731328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12731328 is about 3568.0986533447. The cubic root of 12731328 is about 233.5023392356.

It can be divided in two parts, 1273 and 1328, that added together give a square (2601 = 512).

The spelling of 12731328 in words is "twelve million, seven hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 64 69 72 92 93 96 124 138 144 184 186 192 207 248 276 279 288 368 372 414 496 552 558 576 713 736 744 828 961 992 1104 1116 1426 1472 1488 1656 1922 1984 2139 2208 2232 2852 2883 2976 3312 3844 4278 4416 4464 5704 5766 5952 6417 6624 7688 8556 8649 8928 11408 11532 12834 13248 15376 17112 17298 17856 22103 22816 23064 25668 30752 34224 34596 44206 45632 46128 51336 61504 66309 68448 69192 88412 92256 102672 132618 136896 138384 176824 184512 198927 205344 265236 276768 353648 397854 410688 530472 553536 707296 795708 1060944 1414592 1591416 2121888 3182832 4243776 6365664 12731328