Search a number
-
+
27814290 = 2357196971
BaseRepresentation
bin110101000011…
…0100110010010
31221100010000220
41222012212102
524110024130
62432053510
7455263140
oct152064622
957303026
1027814290
1114778319
129394296
1359bb17a
1439a0590
152696410
hex1a86992

27814290 has 64 divisors (see below), whose sum is σ = 80317440. Its totient is φ = 6022080.

The previous prime is 27814279. The next prime is 27814301. The reversal of 27814290 is 9241872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27814279) and next prime (27814301).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 505 + ... + 7475.

It is an arithmetic number, because the mean of its divisors is an integer number (1254960).

Almost surely, 227814290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27814290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40158720).

27814290 is an abundant number, since it is smaller than the sum of its proper divisors (52503150).

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

27814290 is a wasteful number, since it uses less digits than its factorization.

27814290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 27814290 is about 5273.9254829776. The cubic root of 27814290 is about 302.9860682634.

The spelling of 27814290 in words is "twenty-seven million, eight hundred fourteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 6971 13942 20913 34855 41826 48797 69710 97594 104565 132449 146391 209130 243985 264898 292782 397347 487970 662245 731955 794694 927143 1324490 1463910 1854286 1986735 2781429 3973470 4635715 5562858 9271430 13907145 27814290