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12541284 = 2233753313
BaseRepresentation
bin101111110101…
…110101100100
3212121011102000
4233311311210
511202310114
61124445300
7211412340
oct57656544
925534360
1012541284
1170964a8
124249830
1327a14a2
141946620
15117ae09
hexbf5d64

12541284 has 96 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 3504384.

The previous prime is 12541283. The next prime is 12541303. The reversal of 12541284 is 48214521.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12541283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39912 + ... + 40224.

It is an arithmetic number, because the mean of its divisors is an integer number (395640).

Almost surely, 212541284 is an apocalyptic number.

12541284 is a gapful number since it is divisible by the number (14) 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 12541284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990720).

12541284 is an abundant number, since it is smaller than the sum of its proper divisors (25440156).

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

12541284 is a wasteful number, since it uses less digits than its factorization.

12541284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 12541284 is about 3541.3675324654. The cubic root of 12541284 is about 232.3346587209.

The spelling of 12541284 in words is "twelve million, five hundred forty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 313 318 371 378 477 626 636 742 756 939 954 1113 1252 1431 1484 1878 1908 2191 2226 2817 2862 3339 3756 4382 4452 5634 5724 6573 6678 8451 8764 10017 11268 13146 13356 16589 16902 19719 20034 26292 33178 33804 39438 40068 49767 59157 66356 78876 99534 116123 118314 149301 199068 232246 236628 298602 348369 447903 464492 597204 696738 895806 1045107 1393476 1791612 2090214 3135321 4180428 6270642 12541284