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18082300 = 22521931307
BaseRepresentation
bin100010011111…
…0100111111100
31021000200020211
41010332213330
514112113200
61443322204
7306461035
oct104764774
937020224
1018082300
11a230555
126080364
1339915b2
142589a8c
1518c2aba
hex113e9fc

18082300 has 72 divisors (see below), whose sum is σ = 42775040. Its totient is φ = 6609600.

The previous prime is 18082249. The next prime is 18082303. The reversal of 18082300 is 328081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18082303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58747 + ... + 59053.

Almost surely, 218082300 is an apocalyptic number.

18082300 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 18082300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21387520).

18082300 is an abundant number, since it is smaller than the sum of its proper divisors (24692740).

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

18082300 is a wasteful number, since it uses less digits than its factorization.

18082300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 18082300 is about 4252.3287737427. The cubic root of 18082300 is about 262.4729526176.

The spelling of 18082300 in words is "eighteen million, eighty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 307 310 380 475 589 614 620 775 950 1178 1228 1535 1550 1900 2356 2945 3070 3100 5833 5890 6140 7675 9517 11666 11780 14725 15350 19034 23332 29165 29450 30700 38068 47585 58330 58900 95170 116660 145825 180823 190340 237925 291650 361646 475850 583300 723292 904115 951700 1808230 3616460 4520575 9041150 18082300