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21257327 = 7213217151
BaseRepresentation
bin101000100010…
…1110001101111
31110222222120102
41101011301233
520420213302
62035341315
7345453500
oct121056157
943888512
1021257327
1110aa9a43
12715183b
134533800
142b74ba7
151ced702
hex1445c6f

21257327 has 36 divisors (see below), whose sum is σ = 28539216. Its totient is φ = 15724800.

The previous prime is 21257323. The next prime is 21257347. The reversal of 21257327 is 72375212.

It is not a de Polignac number, because 21257327 - 22 = 21257323 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21257327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21257323) 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 35 ways as a sum of consecutive naturals, for example, 140702 + ... + 140852.

It is an arithmetic number, because the mean of its divisors is an integer number (792756).

Almost surely, 221257327 is an apocalyptic number.

21257327 is a deficient number, since it is larger than the sum of its proper divisors (7281889).

21257327 is a wasteful number, since it uses less digits than its factorization.

21257327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 21257327 is about 4610.5668848852. The cubic root of 21257327 is about 277.0147437490.

The spelling of 21257327 in words is "twenty-one million, two hundred fifty-seven thousand, three hundred twenty-seven".

Divisors: 1 7 13 17 49 91 119 151 169 221 637 833 1057 1183 1547 1963 2567 2873 7399 8281 10829 13741 17969 20111 25519 33371 96187 125783 140777 178633 233597 433823 1250431 1635179 3036761 21257327