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10638027 = 334783101
BaseRepresentation
bin101000100101…
…001011001011
3202000110122000
4220211023023
510210404102
61020002043
7156264441
oct50451313
922013560
1010638027
116006564
123690323
1322860ba
1415acb91
15e0201c
hexa252cb

10638027 has 32 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 6789600.

The previous prime is 10638007. The next prime is 10638031. The reversal of 10638027 is 72083601.

10638027 is a `hidden beast` number, since 1 + 0 + 638 + 0 + 27 = 666.

It is not a de Polignac number, because 10638027 - 28 = 10637771 is a prime.

It is a super-2 number, since 2×106380272 = 226335236905458, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638007) 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 31 ways as a sum of consecutive naturals, for example, 105277 + ... + 105377.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 210638027 is an apocalyptic number.

10638027 is a deficient number, since it is larger than the sum of its proper divisors (5812533).

10638027 is a wasteful number, since it uses less digits than its factorization.

10638027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10638027 is about 3261.5988410594. The cubic root of 10638027 is about 219.9312939723.

The spelling of 10638027 in words is "ten million, six hundred thirty-eight thousand, twenty-seven".

Divisors: 1 3 9 27 47 83 101 141 249 303 423 747 909 1269 2241 2727 3901 4747 8383 11703 14241 25149 35109 42723 75447 105327 128169 226341 394001 1182003 3546009 10638027