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210052 = 22173089
BaseRepresentation
bin110011010010000100
3101200010201
4303102010
523210202
64300244
71533253
oct632204
9350121
10210052
111338a7
12a1684
13747bb
145679a
1542387
hex33484

210052 has 12 divisors (see below), whose sum is σ = 389340. Its totient is φ = 98816.

The previous prime is 210037. The next prime is 210053. The reversal of 210052 is 250012.

It can be written as a sum of positive squares in 2 ways, for example, as 179776 + 30276 = 424^2 + 174^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (210053) 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 3 ways as a sum of consecutive naturals, for example, 1477 + ... + 1612.

It is an arithmetic number, because the mean of its divisors is an integer number (32445).

2210052 is an apocalyptic number.

It is an amenable number.

210052 is a deficient number, since it is larger than the sum of its proper divisors (179288).

210052 is a wasteful number, since it uses less digits than its factorization.

210052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 210052 is about 458.3143026352. The cubic root of 210052 is about 59.4441252170. Note that the first 3 decimals are identical.

Adding to 210052 its reverse (250012), we get a palindrome (460064).

The spelling of 210052 in words is "two hundred ten thousand, fifty-two".

Divisors: 1 2 4 17 34 68 3089 6178 12356 52513 105026 210052