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102003640 = 2353182261
BaseRepresentation
bin1100001010001…
…11001110111000
321002221022200121
412011013032320
5202103104030
614042143024
72346005464
oct605071670
9232838617
10102003640
115263a932
122a1b1a74
13181957ab
14d7934a4
158e4d47a
hex61473b8

102003640 has 32 divisors (see below), whose sum is σ = 236914560. Its totient is φ = 39484800.

The previous prime is 102003623. The next prime is 102003653. The reversal of 102003640 is 46300201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39891 + ... + 42370.

It is an arithmetic number, because the mean of its divisors is an integer number (7403580).

Almost surely, 2102003640 is an apocalyptic number.

102003640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003640 is an abundant number, since it is smaller than the sum of its proper divisors (134910920).

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

102003640 is a wasteful number, since it uses less digits than its factorization.

102003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82303 (or 82299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 102003640 is about 10099.6851436072. The cubic root of 102003640 is about 467.2384307029.

Adding to 102003640 its reverse (46300201), we get a palindrome (148303841).

The spelling of 102003640 in words is "one hundred two million, three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 82261 164522 329044 411305 658088 822610 1645220 2550091 3290440 5100182 10200364 12750455 20400728 25500910 51001820 102003640