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18036000 = 253353167
BaseRepresentation
bin100010011001…
…1010100100000
31020221022202000
41010303110200
514104123000
61442324000
7306206043
oct104632440
936838660
1018036000
11a1a9794
126059600
1339764b8
142576c5a
1518b4000
hex1133520

18036000 has 192 divisors, whose sum is σ = 66044160. Its totient is φ = 4780800.

The previous prime is 18035993. The next prime is 18036013. The reversal of 18036000 is 63081.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107917 + ... + 108083.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 218036000 is an apocalyptic number.

18036000 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 18036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

18036000 is an abundant number, since it is smaller than the sum of its proper divisors (48008160).

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

18036000 is a wasteful number, since it uses less digits than its factorization.

18036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 18036000 is about 4246.8812086047. The cubic root of 18036000 is about 262.2487391657.

18036000 divided by its product of nonzero digits (144) gives a triangular number (125250 = T500).

Adding to 18036000 its reverse (63081), we get a palindrome (18099081).

The spelling of 18036000 in words is "eighteen million, thirty-six thousand".