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1998000 = 24335337
BaseRepresentation
bin111100111110010110000
310202111202000
413213302300
51002414000
6110454000
722661034
oct7476260
93674660
101998000
111145144
12804300
1354c564
143a01c4
15297000
hex1e7cb0

1998000 has 160 divisors (see below), whose sum is σ = 7350720. Its totient is φ = 518400.

The previous prime is 1997999. The next prime is 1998019. The reversal of 1998000 is 8991.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53982 + ... + 54018.

It is an arithmetic number, because the mean of its divisors is an integer number (45942).

21998000 is an apocalyptic number.

1998000 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 1998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675360).

1998000 is an abundant number, since it is smaller than the sum of its proper divisors (5352720).

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

1998000 is a wasteful number, since it uses less digits than its factorization.

1998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

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

The square root of 1998000 is about 1413.5062787268. The cubic root of 1998000 is about 125.9500936143.

It can be divided in two parts, 1 and 998000, that added together give a square (998001 = 9992).

The spelling of 1998000 in words is "one million, nine hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 37 40 45 48 50 54 60 72 74 75 80 90 100 108 111 120 125 135 144 148 150 180 185 200 216 222 225 240 250 270 296 300 333 360 370 375 400 432 444 450 500 540 555 592 600 666 675 720 740 750 888 900 925 999 1000 1080 1110 1125 1200 1332 1350 1480 1500 1665 1776 1800 1850 1998 2000 2160 2220 2250 2664 2700 2775 2960 3000 3330 3375 3600 3700 3996 4440 4500 4625 4995 5328 5400 5550 6000 6660 6750 7400 7992 8325 8880 9000 9250 9990 10800 11100 13320 13500 13875 14800 15984 16650 18000 18500 19980 22200 24975 26640 27000 27750 33300 37000 39960 41625 44400 49950 54000 55500 66600 74000 79920 83250 99900 111000 124875 133200 166500 199800 222000 249750 333000 399600 499500 666000 999000 1998000