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238085 = 5172801
BaseRepresentation
bin111010001000000101
3110002120222
4322020011
530104320
65034125
72011061
oct721005
9402528
10238085
11152971
12b5945
13844a3
1462aa1
154a825
hex3a205

238085 has 8 divisors (see below), whose sum is σ = 302616. Its totient is φ = 179200.

The previous prime is 238081. The next prime is 238093. The reversal of 238085 is 580832.

238085 = T70 + T71 + ... + T120.

It can be written as a sum of positive squares in 4 ways, for example, as 49729 + 188356 = 223^2 + 434^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 238085 - 22 = 238081 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238085.

It is not an unprimeable number, because it can be changed into a prime (238081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1316 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (37827).

2238085 is an apocalyptic number.

It is an amenable number.

238085 is a deficient number, since it is larger than the sum of its proper divisors (64531).

238085 is a wasteful number, since it uses less digits than its factorization.

238085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 238085 is about 487.9395454357. The cubic root of 238085 is about 61.9789210341.

The spelling of 238085 in words is "two hundred thirty-eight thousand, eighty-five".

Divisors: 1 5 17 85 2801 14005 47617 238085