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18054000 = 2432531759
BaseRepresentation
bin100010011011…
…1101101110000
31020222020102200
41010313231300
514110212000
61442543200
7306312366
oct104675560
936866380
1018054000
11a211268
126067b00
133981753
14257d636
1518b9500
hex1137b70

18054000 has 240 divisors, whose sum is σ = 67897440. Its totient is φ = 4454400.

The previous prime is 18053999. The next prime is 18054007. The reversal of 18054000 is 45081.

It is a Cunningham number, because it is equal to 42492-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18054007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 305971 + ... + 306029.

It is an arithmetic number, because the mean of its divisors is an integer number (282906).

Almost surely, 218054000 is an apocalyptic number.

18054000 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 18054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).

18054000 is an abundant number, since it is smaller than the sum of its proper divisors (49843440).

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

18054000 is a wasteful number, since it uses less digits than its factorization.

18054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18054000 is about 4248.9998823253. Note that the first 3 decimals coincide. The cubic root of 18054000 is about 262.3359519221.

Adding to 18054000 its reverse (45081), we get a palindrome (18099081).

The spelling of 18054000 in words is "eighteen million, fifty-four thousand".