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18063120 = 2435731031
BaseRepresentation
bin100010011100…
…1111100010000
31020222200221110
41010321330100
514111004440
61443053320
7306351105
oct104717420
936880843
1018063120
11a2180a9
126071240
13398594a
142582aac
1518bc080
hex1139f10

18063120 has 80 divisors (see below), whose sum is σ = 56817792. Its totient is φ = 4746240.

The previous prime is 18063107. The next prime is 18063131. The reversal of 18063120 is 2136081.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17005 + ... + 18035.

Almost surely, 218063120 is an apocalyptic number.

18063120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28408896).

18063120 is an abundant number, since it is smaller than the sum of its proper divisors (38754672).

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

18063120 is a wasteful number, since it uses less digits than its factorization.

18063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 18063120 is about 4250.0729405506. The cubic root of 18063120 is about 262.3801175943.

The spelling of 18063120 in words is "eighteen million, sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1031 1095 1168 1460 1752 2062 2190 2920 3093 3504 4124 4380 5155 5840 6186 8248 8760 10310 12372 15465 16496 17520 20620 24744 30930 41240 49488 61860 75263 82480 123720 150526 225789 247440 301052 376315 451578 602104 752630 903156 1128945 1204208 1505260 1806312 2257890 3010520 3612624 4515780 6021040 9031560 18063120