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201742065 = 3257291493
BaseRepresentation
bin11000000011001…
…01011011110001
3112001121120002100
430001211123301
5403121221230
632004011013
74666531200
oct1401453361
9461546070
10201742065
11a3972888
1257690a69
1332a47205
141cb17237
1512aa0660
hexc0656f1

201742065 has 36 divisors (see below), whose sum is σ = 406782324. Its totient is φ = 92223936.

The previous prime is 201742033. The next prime is 201742069. The reversal of 201742065 is 560247102.

It can be written as a sum of positive squares in 2 ways, for example, as 151954929 + 49787136 = 12327^2 + 7056^2 .

It is not a de Polignac number, because 201742065 - 25 = 201742033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201742069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43542 + ... + 47951.

It is an arithmetic number, because the mean of its divisors is an integer number (11299509).

Almost surely, 2201742065 is an apocalyptic number.

It is an amenable number.

201742065 is an abundant number, since it is smaller than the sum of its proper divisors (205040259).

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

201742065 is a wasteful number, since it uses less digits than its factorization.

201742065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91518 (or 91508 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 201742065 is about 14203.5933833661. The cubic root of 201742065 is about 586.4965844696.

Adding to 201742065 its reverse (560247102), we get a palindrome (761989167).

The spelling of 201742065 in words is "two hundred one million, seven hundred forty-two thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 91493 274479 457465 640451 823437 1372395 1921353 3202255 4117185 4483157 5764059 9606765 13449471 22415785 28820295 40348413 67247355 201742065