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27166266 = 234232317
BaseRepresentation
bin110011110100…
…0011000111010
31220010012010000
41213220120322
523423310031
62410133430
7446623641
oct147503072
956105100
1027166266
1114375466
129121276
13582221a
143872358
1525b93e6
hex19e863a

27166266 has 60 divisors (see below), whose sum is σ = 63835002. Its totient is φ = 8634384.

The previous prime is 27166253. The next prime is 27166267. The reversal of 27166266 is 66266172.

27166266 is a `hidden beast` number, since 27 + 1 + 6 + 626 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26780625 + 385641 = 5175^2 + 621^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27166266.

It is not an unprimeable number, because it can be changed into a prime (27166267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 85540 + ... + 85856.

Almost surely, 227166266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27166266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917501).

27166266 is an abundant number, since it is smaller than the sum of its proper divisors (36668736).

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

27166266 is a wasteful number, since it uses less digits than its factorization.

27166266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 345 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 27166266 is about 5212.1268211739. The cubic root of 27166266 is about 300.6145402746.

The spelling of 27166266 in words is "twenty-seven million, one hundred sixty-six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 317 414 529 621 634 951 1058 1242 1587 1863 1902 2853 3174 3726 4761 5706 7291 8559 9522 14283 14582 17118 21873 25677 28566 42849 43746 51354 65619 85698 131238 167693 196857 335386 393714 503079 590571 1006158 1181142 1509237 3018474 4527711 9055422 13583133 27166266