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102332640 = 2535213193
BaseRepresentation
bin1100001100101…
…11100011100000
321010120000222210
412012113203200
5202144121030
614053202120
72351545614
oct606274340
9233500883
10102332640
1152845033
122a330340
131827c477
14d83b344
158eb5bb0
hex61978e0

102332640 has 48 divisors (see below), whose sum is σ = 322349328. Its totient is φ = 27288576.

The previous prime is 102332627. The next prime is 102332669. The reversal of 102332640 is 46233201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106117 + ... + 107076.

It is an arithmetic number, because the mean of its divisors is an integer number (6715611).

Almost surely, 2102332640 is an apocalyptic number.

102332640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102332640 is an abundant number, since it is smaller than the sum of its proper divisors (220016688).

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

102332640 is a wasteful number, since it uses less digits than its factorization.

102332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213211 (or 213203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 102332640 is about 10115.9596677725. The cubic root of 102332640 is about 467.7402313231.

Adding to 102332640 its reverse (46233201), we get a palindrome (148565841).

The spelling of 102332640 in words is "one hundred two million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 213193 426386 639579 852772 1065965 1279158 1705544 2131930 2558316 3197895 3411088 4263860 5116632 6395790 6822176 8527720 10233264 12791580 17055440 20466528 25583160 34110880 51166320 102332640