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18185000 = 23543637
BaseRepresentation
bin100010101011…
…1101100101000
31021012220010112
41011113230220
514123410000
61445433452
7310366331
oct105275450
937186115
1018185000
11a2a0729
12610b888
1339c9272
1425b5288
1518e3235
hex1157b28

18185000 has 40 divisors (see below), whose sum is σ = 42619170. Its totient is φ = 7272000.

The previous prime is 18184967. The next prime is 18185009. The reversal of 18185000 is 58181.

It can be written as a sum of positive squares in 5 ways, for example, as 729316 + 17455684 = 854^2 + 4178^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (18185009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3182 + ... + 6818.

Almost surely, 218185000 is an apocalyptic number.

18185000 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 18185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21309585).

18185000 is an abundant number, since it is smaller than the sum of its proper divisors (24434170).

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

18185000 is an equidigital number, since it uses as much as digits as its factorization.

18185000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 18185000 is about 4264.3874120441. The cubic root of 18185000 is about 262.9689274976.

The spelling of 18185000 in words is "eighteen million, one hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3637 5000 7274 14548 18185 29096 36370 72740 90925 145480 181850 363700 454625 727400 909250 1818500 2273125 3637000 4546250 9092500 18185000