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27070290 = 232513171361
BaseRepresentation
bin110011101000…
…0111101010010
31212221022110100
41213100331102
523412222130
62404113230
7446044062
oct147207522
955838410
1027070290
111430a345
129095816
1357ba630
1438493a2
15259ac60
hex19d0f52

27070290 has 96 divisors (see below), whose sum is σ = 80314416. Its totient is φ = 6266880.

The previous prime is 27070283. The next prime is 27070297. The reversal of 27070290 is 9207072.

It is an interprime number because it is at equal distance from previous prime (27070283) and next prime (27070297).

It can be written as a sum of positive squares in 8 ways, for example, as 5919489 + 21150801 = 2433^2 + 4599^2 .

It is not an unprimeable number, because it can be changed into a prime (27070297) 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 47 ways as a sum of consecutive naturals, for example, 19210 + ... + 20570.

Almost surely, 227070290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27070290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40157208).

27070290 is an abundant number, since it is smaller than the sum of its proper divisors (53244126).

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

27070290 is a wasteful number, since it uses less digits than its factorization.

27070290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 27070290 is about 5202.9116848165. The cubic root of 27070290 is about 300.2601077480.

The spelling of 27070290 in words is "twenty-seven million, seventy thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1361 1530 1989 2210 2722 3315 3978 4083 6630 6805 8166 9945 12249 13610 17693 19890 20415 23137 24498 35386 40830 46274 53079 61245 69411 88465 106158 115685 122490 138822 159237 176930 208233 231370 265395 300781 318474 347055 416466 530790 601562 694110 796185 902343 1041165 1503905 1592370 1804686 2082330 2707029 3007810 4511715 5414058 9023430 13535145 27070290