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11666080 = 255174289
BaseRepresentation
bin101100100000…
…001010100000
3210221200212001
4230200022200
510441303310
61054013344
7201105616
oct54401240
923850761
1011666080
116648998
123aa7254
13255600a
1417996b6
15105693a
hexb202a0

11666080 has 48 divisors (see below), whose sum is σ = 29189160. Its totient is φ = 4390912.

The previous prime is 11666059. The next prime is 11666111. The reversal of 11666080 is 8066611.

It can be written as a sum of positive squares in 4 ways, for example, as 11641744 + 24336 = 3412^2 + 156^2 .

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 7 ways as a sum of consecutive naturals, for example, 576 + ... + 4864.

Almost surely, 211666080 is an apocalyptic number.

11666080 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 11666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594580).

11666080 is an abundant number, since it is smaller than the sum of its proper divisors (17523080).

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

11666080 is a wasteful number, since it uses less digits than its factorization.

11666080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 11666080 is about 3415.5643750338. The cubic root of 11666080 is about 226.7992688166.

The spelling of 11666080 in words is "eleven million, six hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4289 8578 17156 21445 34312 42890 68624 72913 85780 137248 145826 171560 291652 343120 364565 583304 686240 729130 1166608 1458260 2333216 2916520 5833040 11666080