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13066560 = 2632513349
BaseRepresentation
bin110001110110…
…000101000000
3220120211221200
4301312011000
511321112220
61144021200
7216030633
oct61660500
926524850
1013066560
117415111
124461800
1329265c0
141a41c1a
151231890
hexc76140

13066560 has 168 divisors, whose sum is σ = 48539400. Its totient is φ = 3207168.

The previous prime is 13066549. The next prime is 13066589. The reversal of 13066560 is 6566031.

13066560 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 656 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 12278016 = 888^2 + 3504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37266 + ... + 37614.

It is an arithmetic number, because the mean of its divisors is an integer number (288925).

Almost surely, 213066560 is an apocalyptic number.

13066560 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 13066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269700).

13066560 is an abundant number, since it is smaller than the sum of its proper divisors (35472840).

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

13066560 is a wasteful number, since it uses less digits than its factorization.

13066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13066560 is about 3614.7697022079. The cubic root of 13066560 is about 235.5340802910.

The spelling of 13066560 in words is "thirteen million, sixty-six thousand, five hundred sixty".