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18190000 = 245417107
BaseRepresentation
bin100010101100…
…0111010110000
31021020010222201
41011120322300
514124040000
61445512544
7310420033
oct105307260
937203881
1018190000
11a2a4464
126112754
1339cb61a
1425b701a
1518e496a
hex1158eb0

18190000 has 100 divisors (see below), whose sum is σ = 47066184. Its totient is φ = 6784000.

The previous prime is 18189991. The next prime is 18190001. The reversal of 18190000 is 9181.

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

It is a super-2 number, since 2×181900002 = 661752200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18190000.

It is not an unprimeable number, because it can be changed into a prime (18190001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169947 + ... + 170053.

Almost surely, 218190000 is an apocalyptic number.

18190000 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 18190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533092).

18190000 is an abundant number, since it is smaller than the sum of its proper divisors (28876184).

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

18190000 is a wasteful number, since it uses less digits than its factorization.

18190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 18190000 is about 4264.9736224272. The cubic root of 18190000 is about 262.9930265564.

Adding to 18190000 its reverse (9181), we get a palindrome (18199181).

The spelling of 18190000 in words is "eighteen million, one hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 107 125 136 170 200 214 250 272 340 400 425 428 500 535 625 680 850 856 1000 1070 1250 1360 1700 1712 1819 2000 2125 2140 2500 2675 3400 3638 4250 4280 5000 5350 6800 7276 8500 8560 9095 10000 10625 10700 13375 14552 17000 18190 21250 21400 26750 29104 34000 36380 42500 42800 45475 53500 66875 72760 85000 90950 107000 133750 145520 170000 181900 214000 227375 267500 363800 454750 535000 727600 909500 1070000 1136875 1819000 2273750 3638000 4547500 9095000 18190000