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21006135 = 37517113
BaseRepresentation
bin101000000100…
…0011100110111
31110112020000000
41100020130313
520334144020
62030122343
7343356243
oct120103467
943466000
1021006135
1110948247
1270503b3
134476387
142b0b423
151c9e090
hex1408737

21006135 has 64 divisors (see below), whose sum is σ = 40383360. Its totient is φ = 10450944.

The previous prime is 21006119. The next prime is 21006137. The reversal of 21006135 is 53160012.

It is not a de Polignac number, because 21006135 - 24 = 21006119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21006137) 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 63 ways as a sum of consecutive naturals, for example, 185839 + ... + 185951.

It is an arithmetic number, because the mean of its divisors is an integer number (630990).

Almost surely, 221006135 is an apocalyptic number.

21006135 is a deficient number, since it is larger than the sum of its proper divisors (19377225).

21006135 is an equidigital number, since it uses as much as digits as its factorization.

21006135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 21006135 is about 4583.2450294524. The cubic root of 21006135 is about 275.9192816886.

Adding to 21006135 its reverse (53160012), we get a palindrome (74166147).

The spelling of 21006135 in words is "twenty-one million, six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 113 135 153 243 255 339 405 459 565 729 765 1017 1215 1377 1695 1921 2187 2295 3051 3645 4131 5085 5763 6885 9153 9605 10935 12393 15255 17289 20655 27459 28815 37179 45765 51867 61965 82377 86445 137295 155601 185895 247131 259335 411885 466803 778005 1235655 1400409 2334015 4201227 7002045 21006135