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11166093 = 3617253
BaseRepresentation
bin101010100110…
…000110001101
3210000022000000
4222212012031
510324303333
61035154513
7163624131
oct52460615
923008000
1011166093
116337284
1238a5a39
13240c573
1416a93c1
15ea8713
hexaa618d

11166093 has 42 divisors (see below), whose sum is σ = 18119754. Its totient is φ = 6873984.

The previous prime is 11166083. The next prime is 11166137. The reversal of 11166093 is 39066111.

It can be written as a sum of positive squares in 3 ways, for example, as 5774409 + 5391684 = 2403^2 + 2322^2 .

It is not a de Polignac number, because 11166093 - 25 = 11166061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166083) 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 41 ways as a sum of consecutive naturals, for example, 210655 + ... + 210707.

Almost surely, 211166093 is an apocalyptic number.

It is an amenable number.

11166093 is a deficient number, since it is larger than the sum of its proper divisors (6953661).

11166093 is an frugal number, since it uses more digits than its factorization.

11166093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11166093 is about 3341.5704391798. The cubic root of 11166093 is about 223.5117781280.

The spelling of 11166093 in words is "eleven million, one hundred sixty-six thousand, ninety-three".

Divisors: 1 3 9 17 27 51 53 81 153 159 243 289 459 477 729 867 901 1377 1431 2601 2703 4131 4293 7803 8109 12393 12879 15317 23409 24327 38637 45951 70227 72981 137853 210681 218943 413559 656829 1240677 3722031 11166093