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18144000 = 2834537
BaseRepresentation
bin100010100110…
…1101100000000
31021010210220000
41011031230000
514121102000
61444520000
7310135650
oct105155400
937123800
1018144000
11a272946
1260b0000
1339b36c4
1425a4360
1518d6000
hex114db00

18144000 has 360 divisors, whose sum is σ = 77165088. Its totient is φ = 4147200.

The previous prime is 18143989. The next prime is 18144001. The reversal of 18144000 is 44181.

Adding to 18144000 its reverse (44181), we get a palindrome (18188181).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (18144001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591997 + ... + 2592003.

Almost surely, 218144000 is an apocalyptic number.

18144000 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 18144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38582544).

18144000 is an abundant number, since it is smaller than the sum of its proper divisors (59021088).

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

18144000 is an frugal number, since it uses more digits than its factorization.

18144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18144000 is about 4259.5774438317. The cubic root of 18144000 is about 262.7711483933.

The spelling of 18144000 in words is "eighteen million, one hundred forty-four thousand".