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10008102 = 2313314139
BaseRepresentation
bin100110001011…
…011000100110
3200211110112110
4212023120212
510030224402
6554301450
7151032066
oct46133046
920743473
1010008102
115716265
123427886
1320c5470
1414873a6
15d2a56c
hex98b626

10008102 has 32 divisors (see below), whose sum is σ = 22256640. Its totient is φ = 2979360.

The previous prime is 10008101. The next prime is 10008113. The reversal of 10008102 is 20180001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 349 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 210008102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128320).

10008102 is an abundant number, since it is smaller than the sum of its proper divisors (12248538).

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

10008102 is a wasteful number, since it uses less digits than its factorization.

10008102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10008102 is about 3163.5584394792. The cubic root of 10008102 is about 215.5016373962.

Adding to 10008102 its reverse (20180001), we get a palindrome (30188103).

The spelling of 10008102 in words is "ten million, eight thousand, one hundred two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 2418 4139 8278 12417 24834 53807 107614 128309 161421 256618 322842 384927 769854 1668017 3336034 5004051 10008102