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18206720 = 21257127
BaseRepresentation
bin100010101110…
…1000000000000
31021020222220222
41011131000000
514130103340
61450122212
7310516550
oct105350000
937228828
1018206720
11a305a84
126120368
133a0610c
1425bd160
1518e98b5
hex115d000

18206720 has 104 divisors (see below), whose sum is σ = 50325504. Its totient is φ = 6193152.

The previous prime is 18206707. The next prime is 18206723. The reversal of 18206720 is 2760281.

It is a self number, because there is not a number n which added to its sum of digits gives 18206720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18206723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143297 + ... + 143423.

Almost surely, 218206720 is an apocalyptic number.

18206720 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 18206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162752).

18206720 is an abundant number, since it is smaller than the sum of its proper divisors (32118784).

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

18206720 is an equidigital number, since it uses as much as digits as its factorization.

18206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 18206720 is about 4266.9333250005. The cubic root of 18206720 is about 263.0735817478.

The spelling of 18206720 in words is "eighteen million, two hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 128 140 160 224 254 256 280 320 448 508 512 560 635 640 889 896 1016 1024 1120 1270 1280 1778 1792 2032 2048 2240 2540 2560 3556 3584 4064 4096 4445 4480 5080 5120 7112 7168 8128 8890 8960 10160 10240 14224 14336 16256 17780 17920 20320 20480 28448 28672 32512 35560 35840 40640 56896 65024 71120 71680 81280 113792 130048 142240 143360 162560 227584 260096 284480 325120 455168 520192 568960 650240 910336 1137920 1300480 1820672 2275840 2600960 3641344 4551680 9103360 18206720