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21327075 = 32527111231
BaseRepresentation
bin101000101011…
…0110011100011
31111010112020200
41101112303203
520424431300
62041040243
7346164030
oct121266343
944115220
1021327075
1111047390
127186083
134559493
142b92387
151d14200
hex1456ce3

21327075 has 72 divisors (see below), whose sum is σ = 47663616. Its totient is φ = 8856000.

The previous prime is 21327073. The next prime is 21327091. The reversal of 21327075 is 57072312.

It is not a de Polignac number, because 21327075 - 21 = 21327073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21327071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16710 + ... + 17940.

Almost surely, 221327075 is an apocalyptic number.

21327075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21327075 is an abundant number, since it is smaller than the sum of its proper divisors (26336541).

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

21327075 is a wasteful number, since it uses less digits than its factorization.

21327075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 21327075 is about 4618.1246193666. The cubic root of 21327075 is about 277.3173865505.

Adding to 21327075 its reverse (57072312), we get a palindrome (78399387).

The spelling of 21327075 in words is "twenty-one million, three hundred twenty-seven thousand, seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1231 1575 1925 2475 3465 3693 5775 6155 8617 11079 13541 17325 18465 25851 30775 40623 43085 55395 67705 77553 92325 94787 121869 129255 203115 215425 276975 284361 338525 387765 473935 609345 646275 853083 1015575 1421805 1938825 2369675 3046725 4265415 7109025 21327075