Search a number
-
+
290180 = 225111319
BaseRepresentation
bin1000110110110000100
3112202001102
41012312010
533241210
610115232
72316002
oct1066604
9482042
10290180
11189020
1211bb18
13a2107
1477a72
155aea5
hex46d84

290180 has 24 divisors (see below), whose sum is σ = 665280. Its totient is φ = 105440.

The previous prime is 290161. The next prime is 290183. The reversal of 290180 is 81092.

290180 = 82 + 92 + ... + 952.

290180 is nontrivially palindromic in base 15.

290180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (290183) by changing a digit.

290180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2290180 is an apocalyptic number.

290180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

290180 is the 440-th pentagonal number.

It is an amenable number.

290180 is an abundant number, since it is smaller than the sum of its proper divisors (375100).

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

290180 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 290180 = (189020)11.

290180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 290180 is about 538.6835805925. The cubic root of 290180 is about 66.2047513498.

The spelling of 290180 in words is "two hundred ninety thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1319 2638 5276 6595 13190 14509 26380 29018 58036 72545 145090 290180