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12541280 = 255103761
BaseRepresentation
bin101111110101…
…110101100000
3212121011101212
4233311311200
511202310110
61124445252
7211412333
oct57656540
925534355
1012541280
1170964a4
124249828
1327a149b
14194661a
15117ae05
hexbf5d60

12541280 has 48 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 4961280.

The previous prime is 12541247. The next prime is 12541283. The reversal of 12541280 is 8214521.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 16100 + ... + 16860.

It is an arithmetic number, because the mean of its divisors is an integer number (624078).

Almost surely, 212541280 is an apocalyptic number.

12541280 is a gapful number since it is divisible by the number (10) 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 12541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

12541280 is an abundant number, since it is smaller than the sum of its proper divisors (17414464).

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

12541280 is a wasteful number, since it uses less digits than its factorization.

12541280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 12541280 is about 3541.3669677118. The cubic root of 12541280 is about 232.3346340201.

It can be divided in two parts, 125412 and 80, that multiplied together give a triangular number (10032960 = T4479).

The spelling of 12541280 in words is "twelve million, five hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 761 824 1030 1522 1648 2060 3044 3296 3805 4120 6088 7610 8240 12176 15220 16480 24352 30440 60880 78383 121760 156766 313532 391915 627064 783830 1254128 1567660 2508256 3135320 6270640 12541280