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21029085 = 3357211172
BaseRepresentation
bin101000000111…
…0000011011101
31110120101111000
41100032003131
520340412320
62030420513
7343513200
oct120160335
943511430
1021029085
1110963510
127061739
13448395c
142b15937
151ca5c90
hex140e0dd

21029085 has 144 divisors (see below), whose sum is σ = 50397120. Its totient is φ = 8225280.

The previous prime is 21029083. The next prime is 21029101. The reversal of 21029085 is 58092012.

21029085 = 693 + 703 + ... + 1013.

It is not a de Polignac number, because 21029085 - 21 = 21029083 is a prime.

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 (21029081) 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 143 ways as a sum of consecutive naturals, for example, 1236997 + ... + 1237013.

It is an arithmetic number, because the mean of its divisors is an integer number (349980).

Almost surely, 221029085 is an apocalyptic number.

It is an amenable number.

21029085 is an abundant number, since it is smaller than the sum of its proper divisors (29368035).

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

21029085 is a wasteful number, since it uses less digits than its factorization.

21029085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 21029085 is about 4585.7480305835. The cubic root of 21029085 is about 276.0197292135.

The spelling of 21029085 in words is "twenty-one million, twenty-nine thousand, eighty-five".

Divisors: 1 3 5 7 9 11 15 17 21 27 33 35 45 49 51 55 63 77 85 99 105 119 135 147 153 165 187 189 231 245 255 289 297 315 357 385 441 459 495 539 561 595 693 735 765 833 867 935 945 1071 1155 1309 1323 1445 1485 1617 1683 1785 2023 2079 2205 2295 2499 2601 2695 2805 3179 3213 3465 3927 4165 4335 4851 5049 5355 6069 6545 6615 7497 7803 8085 8415 9163 9537 10115 10395 11781 12495 13005 14161 14553 15895 16065 18207 19635 22253 22491 24255 25245 27489 28611 30345 35343 37485 39015 42483 45815 47685 54621 58905 66759 70805 72765 82467 85833 91035 111265 112455 127449 137445 143055 155771 176715 200277 212415 247401 273105 333795 382347 412335 429165 467313 600831 637245 778855 1001385 1237005 1401939 1911735 2336565 3004155 4205817 7009695 21029085