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18990000 = 243254211
BaseRepresentation
bin100100001110…
…0001110110000
31022201210101100
41020130032300
514330140000
61515004400
7320261301
oct110341660
938653340
1018990000
11a7a0517
126439700
133c1b7b3
1427447a8
151a01a00
hex121c3b0

18990000 has 150 divisors (see below), whose sum is σ = 66725516. Its totient is φ = 5040000.

The previous prime is 18989959. The next prime is 18990017. The reversal of 18990000 is 9981.

It is a tau number, because it is divible by the number of its divisors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89895 + ... + 90105.

Almost surely, 218990000 is an apocalyptic number.

18990000 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 18990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33362758).

18990000 is an abundant number, since it is smaller than the sum of its proper divisors (47735516).

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

18990000 is a wasteful number, since it uses less digits than its factorization.

18990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 18990000 is about 4357.7517139002. The cubic root of 18990000 is about 266.7933425928.

Adding to 18990000 its reverse (9981), we get a palindrome (18999981).

The spelling of 18990000 in words is "eighteen million, nine hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 211 225 240 250 300 360 375 400 422 450 500 600 625 633 720 750 844 900 1000 1055 1125 1200 1250 1266 1500 1688 1800 1875 1899 2000 2110 2250 2500 2532 3000 3165 3376 3600 3750 3798 4220 4500 5000 5064 5275 5625 6000 6330 7500 7596 8440 9000 9495 10000 10128 10550 11250 12660 15000 15192 15825 16880 18000 18990 21100 22500 25320 26375 30000 30384 31650 37980 42200 45000 47475 50640 52750 63300 75960 79125 84400 90000 94950 105500 126600 131875 151920 158250 189900 211000 237375 253200 263750 316500 379800 395625 422000 474750 527500 633000 759600 791250 949500 1055000 1186875 1266000 1582500 1899000 2110000 2373750 3165000 3798000 4747500 6330000 9495000 18990000