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165868038 = 232721811039
BaseRepresentation
bin10011110001011…
…11001000000110
3102120002222011200
421320233020012
5314430234123
624243043330
74052566200
oct1170571006
9376088150
10165868038
11856a0126
1247670546
132849668b
1418059770
15e866143
hex9e2f206

165868038 has 72 divisors (see below), whose sum is σ = 420769440. Its totient is φ = 47083680.

The previous prime is 165868033. The next prime is 165868039. The reversal of 165868038 is 830868561.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 165867984 and 165868002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165868033) 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, 159123 + ... + 160161.

It is an arithmetic number, because the mean of its divisors is an integer number (5844020).

Almost surely, 2165868038 is an apocalyptic number.

165868038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165868038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210384720).

165868038 is an abundant number, since it is smaller than the sum of its proper divisors (254901402).

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

165868038 is a wasteful number, since it uses less digits than its factorization.

165868038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 165868038 is about 12878.9765897761. The cubic root of 165868038 is about 549.4407958176.

It can be divided in two parts, 1658 and 68038, that added together give a palindrome (69696).

The spelling of 165868038 in words is "one hundred sixty-five million, eight hundred sixty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 181 294 362 441 543 882 1039 1086 1267 1629 2078 2534 3117 3258 3801 6234 7273 7602 8869 9351 11403 14546 17738 18702 21819 22806 26607 43638 50911 53214 65457 79821 101822 130914 152733 159642 188059 305466 376118 458199 564177 916398 1128354 1316413 1692531 2632826 3385062 3949239 7898478 9214891 11847717 18429782 23695434 27644673 55289346 82934019 165868038