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18054720 = 263256269
BaseRepresentation
bin100010011011…
…1111001000000
31020222021102100
41010313321000
514110222340
61442550400
7306314445
oct104677100
936867370
1018054720
11a211862
126068400
133981b88
14257d9cc
1518b9830
hex1137e40

18054720 has 84 divisors (see below), whose sum is σ = 62110620. Its totient is φ = 4813824.

The previous prime is 18054677. The next prime is 18054727. The reversal of 18054720 is 2745081.

It can be written as a sum of positive squares in 2 ways, for example, as 6110784 + 11943936 = 2472^2 + 3456^2 .

It is not an unprimeable number, because it can be changed into a prime (18054727) 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 11 ways as a sum of consecutive naturals, for example, 255 + ... + 6014.

Almost surely, 218054720 is an apocalyptic number.

18054720 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 18054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31055310).

18054720 is an abundant number, since it is smaller than the sum of its proper divisors (44055900).

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

18054720 is a wasteful number, since it uses less digits than its factorization.

18054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18054720 is about 4249.0846073007. The cubic root of 18054720 is about 262.3394392264.

The spelling of 18054720 in words is "eighteen million, fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 6269 12538 18807 25076 31345 37614 50152 56421 62690 75228 94035 100304 112842 125380 150456 188070 200608 225684 250760 282105 300912 376140 401216 451368 501520 564210 601824 752280 902736 1003040 1128420 1203648 1504560 1805472 2006080 2256840 3009120 3610944 4513680 6018240 9027360 18054720