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18814000 = 245323409
BaseRepresentation
bin100011111000…
…1010000110000
31022101211221211
41013301100300
514304022000
61511125504
7315626212
oct107612060
938354854
1018814000
11a690267
126373894
133b8965a
1426da5b2
1519b97ba
hex11f1430

18814000 has 80 divisors (see below), whose sum is σ = 47586240. Its totient is φ = 7180800.

The previous prime is 18813997. The next prime is 18814001. The reversal of 18814000 is 41881.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (18814001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45796 + ... + 46204.

It is an arithmetic number, because the mean of its divisors is an integer number (594828).

Almost surely, 218814000 is an apocalyptic number.

18814000 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 18814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793120).

18814000 is an abundant number, since it is smaller than the sum of its proper divisors (28772240).

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

18814000 is a wasteful number, since it uses less digits than its factorization.

18814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 18814000 is about 4337.5108069030. The cubic root of 18814000 is about 265.9665663596.

Adding to 18814000 its reverse (41881), we get a palindrome (18855881).

The spelling of 18814000 in words is "eighteen million, eight hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 409 460 500 575 818 920 1000 1150 1636 1840 2000 2045 2300 2875 3272 4090 4600 5750 6544 8180 9200 9407 10225 11500 16360 18814 20450 23000 32720 37628 40900 46000 47035 51125 75256 81800 94070 102250 150512 163600 188140 204500 235175 376280 409000 470350 752560 818000 940700 1175875 1881400 2351750 3762800 4703500 9407000 18814000