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18818000 = 2453972
BaseRepresentation
bin100011111001…
…0001111010000
31022102001102222
41013302033100
514304134000
61511200212
7315643655
oct107621720
938361388
1018818000
11a693273
126376068
133b8b416
1426dbc2c
1519baa85
hex11f23d0

18818000 has 60 divisors (see below), whose sum is σ = 45975852. Its totient is φ = 7449600.

The previous prime is 18817993. The next prime is 18818029. The reversal of 18818000 is 81881.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 7011904 + 11806096 = 2648^2 + 3436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193952 + ... + 194048.

Almost surely, 218818000 is an apocalyptic number.

18818000 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 18818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22987926).

18818000 is an abundant number, since it is smaller than the sum of its proper divisors (27157852).

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

18818000 is an frugal number, since it uses more digits than its factorization.

18818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 18818000 is about 4337.9718763496. The cubic root of 18818000 is about 265.9854138647.

Adding to 18818000 its reverse (81881), we get a palindrome (18899881).

The spelling of 18818000 in words is "eighteen million, eight hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1940 2000 2425 3880 4850 7760 9409 9700 12125 18818 19400 24250 37636 38800 47045 48500 75272 94090 97000 150544 188180 194000 235225 376360 470450 752720 940900 1176125 1881800 2352250 3763600 4704500 9409000 18818000