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10006132 = 2217374197
BaseRepresentation
bin100110001010…
…111001110100
3200211100211111
4212022321310
510030144012
6554244404
7151023253
oct46127164
920740744
1010006132
115714834
123426704
1320c45b6
14148679a
15d29ba7
hex98ae74

10006132 has 48 divisors (see below), whose sum is σ = 19707408. Its totient is φ = 4423680.

The previous prime is 10006121. The next prime is 10006151. The reversal of 10006132 is 23160001.

10006132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45796 + 9960336 = 214^2 + 3156^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103108 + ... + 103204.

It is an arithmetic number, because the mean of its divisors is an integer number (410571).

Almost surely, 210006132 is an apocalyptic number.

It is an amenable number.

10006132 is a deficient number, since it is larger than the sum of its proper divisors (9701276).

10006132 is a wasteful number, since it uses less digits than its factorization.

10006132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10006132 is about 3163.2470659119. The cubic root of 10006132 is about 215.4874966502.

Adding to 10006132 its reverse (23160001), we get a palindrome (33166133).

The spelling of 10006132 in words is "ten million, six thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 37 41 68 74 82 97 148 164 194 388 629 697 1258 1394 1517 1649 2516 2788 3034 3298 3589 3977 6068 6596 7178 7954 14356 15908 25789 51578 61013 67609 103156 122026 135218 147149 244052 270436 294298 588596 2501533 5003066 10006132