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18720009 = 32721117227
BaseRepresentation
bin100011101101…
…0010100001001
31022020002000200
41013122110021
514243020014
61505122413
7315055200
oct107322411
938202020
1018720009
11a626690
126329409
133b55939
1426b4237
15199ba09
hex11da509

18720009 has 72 divisors (see below), whose sum is σ = 36492768. Its totient is φ = 9112320.

The previous prime is 18719983. The next prime is 18720083. The reversal of 18720009 is 90002781.

It is not a de Polignac number, because 18720009 - 211 = 18717961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18721009) 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 71 ways as a sum of consecutive naturals, for example, 82354 + ... + 82580.

It is an arithmetic number, because the mean of its divisors is an integer number (506844).

Almost surely, 218720009 is an apocalyptic number.

It is an amenable number.

18720009 is a deficient number, since it is larger than the sum of its proper divisors (17772759).

18720009 is a wasteful number, since it uses less digits than its factorization.

18720009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 18720009 is about 4326.6625706195. The cubic root of 18720009 is about 265.5229214041.

It can be divided in two parts, 18 and 720009, that added together give a palindrome (720027).

The spelling of 18720009 in words is "eighteen million, seven hundred twenty thousand, nine".

Divisors: 1 3 7 9 11 17 21 33 49 51 63 77 99 119 147 153 187 227 231 357 441 539 561 681 693 833 1071 1309 1589 1617 1683 2043 2497 2499 3859 3927 4767 4851 7491 7497 9163 11123 11577 11781 14301 17479 22473 27013 27489 33369 34731 42449 52437 81039 82467 100107 122353 127347 157311 189091 243117 297143 367059 382041 567273 891429 1101177 1701819 2080001 2674287 6240003 18720009