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18720030 = 235797919
BaseRepresentation
bin100011101101…
…0010100011110
31022020002001110
41013122110132
514243020110
61505122450
7315055230
oct107322436
938202043
1018720030
11a6266aa
126329426
133b55954
1426b4250
15199ba20
hex11da51e

18720030 has 64 divisors (see below), whose sum is σ = 51932160. Its totient is φ = 4230144.

The previous prime is 18719983. The next prime is 18720083. The reversal of 18720030 is 3002781.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18719979 and 18720006.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19911 + ... + 20829.

It is an arithmetic number, because the mean of its divisors is an integer number (811440).

Almost surely, 218720030 is an apocalyptic number.

18720030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18720030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966080).

18720030 is an abundant number, since it is smaller than the sum of its proper divisors (33212130).

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

18720030 is a wasteful number, since it uses less digits than its factorization.

18720030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 18720030 is about 4326.6649974316. The cubic root of 18720030 is about 265.5230206914.

The spelling of 18720030 in words is "eighteen million, seven hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 582 679 919 970 1358 1455 1838 2037 2757 2910 3395 4074 4595 5514 6433 6790 9190 10185 12866 13785 19299 20370 27570 32165 38598 64330 89143 96495 178286 192990 267429 445715 534858 624001 891430 1248002 1337145 1872003 2674290 3120005 3744006 6240010 9360015 18720030