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12941280 = 25325111943
BaseRepresentation
bin110001010111…
…011111100000
3220100111002200
4301113133200
511303110110
61141213200
7214666452
oct61273740
926314080
1012941280
117339a80
124401200
1328b1581
141a0c2d2
1512096c0
hexc577e0

12941280 has 288 divisors, whose sum is σ = 51891840. Its totient is φ = 2903040.

The previous prime is 12941239. The next prime is 12941293. The reversal of 12941280 is 8214921.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300939 + ... + 300981.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 212941280 is an apocalyptic number.

12941280 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 12941280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

12941280 is an abundant number, since it is smaller than the sum of its proper divisors (38950560).

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

12941280 is a wasteful number, since it uses less digits than its factorization.

12941280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12941280 is about 3597.3990604324. The cubic root of 12941280 is about 234.7789077964.

The spelling of 12941280 in words is "twelve million, nine hundred forty-one thousand, two hundred eighty".