Search a number
-
+
290290 = 257111329
BaseRepresentation
bin1000110110111110010
3112202012111
41012313302
533242130
610115534
72316220
oct1066762
9482174
10290290
11189110
1211bbaa
13a2190
1477b10
155b02a
hex46df2

290290 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 80640.

The previous prime is 290249. The next prime is 290317. The reversal of 290290 is 92092.

290290 = 52 + 62 + ... + 952.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

290290 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 9996 + ... + 10024.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2290290 is an apocalyptic number.

290290 is an abundant number, since it is smaller than the sum of its proper divisors (435470).

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

290290 is a wasteful number, since it uses less digits than its factorization.

290290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 290290 is about 538.7856716729. The cubic root of 290290 is about 66.2131158163.

It can be divided in two parts, 2902 and 90, that added together give a palindrome (2992).

The spelling of 290290 in words is "two hundred ninety thousand, two hundred ninety".

Divisors: 1 2 5 7 10 11 13 14 22 26 29 35 55 58 65 70 77 91 110 130 143 145 154 182 203 286 290 319 377 385 406 455 638 715 754 770 910 1001 1015 1430 1595 1885 2002 2030 2233 2639 3190 3770 4147 4466 5005 5278 8294 10010 11165 13195 20735 22330 26390 29029 41470 58058 145145 290290