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54030000 = 243541801
BaseRepresentation
bin1100111000011…
…0111010110000
310202200000020010
43032012322300
5102312430000
65210014520
71224150603
oct316067260
9122600203
1054030000
11285535a2
1216117440
13b26981b
14726633a
154b23d50
hex3386eb0

54030000 has 100 divisors (see below), whose sum is σ = 174512888. Its totient is φ = 14400000.

The previous prime is 54029999. The next prime is 54030019. The reversal of 54030000 is 3045.

54030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 19 ways as a sum of consecutive naturals, for example, 29100 + ... + 30900.

Almost surely, 254030000 is an apocalyptic number.

54030000 is a gapful number since it is divisible by the number (50) 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 54030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87256444).

54030000 is an abundant number, since it is smaller than the sum of its proper divisors (120482888).

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

54030000 is a wasteful number, since it uses less digits than its factorization.

54030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 54030000 is about 7350.5101863748. The cubic root of 54030000 is about 378.0462976242.

Adding to 54030000 its reverse (3045), we get a palindrome (54033045).

The spelling of 54030000 in words is "fifty-four million, thirty thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1801 1875 2000 2500 3000 3602 3750 5000 5403 6000 7204 7500 9005 10000 10806 14408 15000 18010 21612 27015 28816 30000 36020 43224 45025 54030 72040 86448 90050 108060 135075 144080 180100 216120 225125 270150 360200 432240 450250 540300 675375 720400 900500 1080600 1125625 1350750 1801000 2161200 2251250 2701500 3376875 3602000 4502500 5403000 6753750 9005000 10806000 13507500 18010000 27015000 54030000