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11066660 = 22511217269
BaseRepresentation
bin101010001101…
…110100100100
3202211020121022
4222031310210
510313113120
61033110312
7163031213
oct52156444
922736538
1011066660
116279600
123858398
1323a6227
14168107a
15e89025
hexa8dd24

11066660 has 72 divisors (see below), whose sum is σ = 27147960. Its totient is φ = 3773440.

The previous prime is 11066651. The next prime is 11066669. The reversal of 11066660 is 6666011.

11066660 = T31 + T32 + ... + T404.

It is an interprime number because it is at equal distance from previous prime (11066651) and next prime (11066669).

It can be written as a sum of positive squares in 4 ways, for example, as 465124 + 10601536 = 682^2 + 3256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11066669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41006 + ... + 41274.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 211066660 is an apocalyptic number.

11066660 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 11066660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573980).

11066660 is an abundant number, since it is smaller than the sum of its proper divisors (16081300).

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

11066660 is a wasteful number, since it uses less digits than its factorization.

11066660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 11066660 is about 3326.6589846271. The cubic root of 11066660 is about 222.8463486053.

The spelling of 11066660 in words is "eleven million, sixty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 269 340 374 484 538 605 748 935 1076 1210 1345 1870 2057 2420 2690 2959 3740 4114 4573 5380 5918 8228 9146 10285 11836 14795 18292 20570 22865 29590 32549 41140 45730 50303 59180 65098 91460 100606 130196 162745 201212 251515 325490 503030 553333 650980 1006060 1106666 2213332 2766665 5533330 11066660