Search a number
-
+
12850560 = 273252397
BaseRepresentation
bin110001000001…
…010110000000
3220011212122200
4301001112000
511242204220
61135233200
7214141122
oct61012600
926155580
1012850560
1172878a8
124378800
13287c1a8
1419c7212
1511dc890
hexc41580

12850560 has 192 divisors, whose sum is σ = 46781280. Its totient is φ = 3244032.

The previous prime is 12850543. The next prime is 12850571. The reversal of 12850560 is 6505821.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132432 + ... + 132528.

Almost surely, 212850560 is an apocalyptic number.

12850560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12850560 is the 2070-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

12850560 is an abundant number, since it is smaller than the sum of its proper divisors (33930720).

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

12850560 is a wasteful number, since it uses less digits than its factorization.

12850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 12850560 is about 3584.7677749054. The cubic root of 12850560 is about 234.2290109509.

The spelling of 12850560 in words is "twelve million, eight hundred fifty thousand, five hundred sixty".