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102018384 = 24321354497
BaseRepresentation
bin1100001010010…
…10110101010000
321002222001220200
412011022311100
5202104042014
614042335200
72346066456
oct605126520
9232861820
10102018384
115264aa16
122a1ba500
131819c410
14d7989d6
158e52a09
hex614ad50

102018384 has 60 divisors (see below), whose sum is σ = 307477716. Its totient is φ = 31389696.

The previous prime is 102018349. The next prime is 102018407. The reversal of 102018384 is 483810201.

It can be written as a sum of positive squares in 2 ways, for example, as 25280784 + 76737600 = 5028^2 + 8760^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25377 + ... + 29120.

Almost surely, 2102018384 is an apocalyptic number.

It is an amenable number.

102018384 is an abundant number, since it is smaller than the sum of its proper divisors (205459332).

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

102018384 is a wasteful number, since it uses less digits than its factorization.

102018384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54524 (or 54515 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102018384 is about 10100.4150409773. The cubic root of 102018384 is about 467.2609417673.

Adding to 102018384 its reverse (483810201), we get a palindrome (585828585).

The spelling of 102018384 in words is "one hundred two million, eighteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 54497 108994 163491 217988 326982 435976 490473 653964 708461 871952 980946 1307928 1416922 1961892 2125383 2615856 2833844 3923784 4250766 5667688 6376149 7847568 8501532 11335376 12752298 17003064 25504596 34006128 51009192 102018384