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63063 = 32721113
BaseRepresentation
bin1111011001010111
310012111200
433121113
54004223
61203543
7351600
oct173127
9105450
1063063
1143420
12305b3
1322920
1418da7
1513a43
hexf657

63063 has 36 divisors (see below), whose sum is σ = 124488. Its totient is φ = 30240.

The previous prime is 63059. The next prime is 63067. The reversal of 63063 is 36036.

It is an interprime number because it is at equal distance from previous prime (63059) and next prime (63067).

It is not a de Polignac number, because 63063 - 22 = 63059 is a prime.

63063 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63067) 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 35 ways as a sum of consecutive naturals, for example, 4845 + ... + 4857.

It is an arithmetic number, because the mean of its divisors is an integer number (3458).

263063 is an apocalyptic number.

63063 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

63063 is a deficient number, since it is larger than the sum of its proper divisors (61425).

63063 is a wasteful number, since it uses less digits than its factorization.

63063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 63063 is about 251.1234756051. The cubic root of 63063 is about 39.8038311843.

Adding to 63063 its reverse (36036), we get a palindrome (99099).

The spelling of 63063 in words is "sixty-three thousand, sixty-three".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1617 1911 3003 4851 5733 7007 9009 21021 63063