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1084993000 = 235371311923
BaseRepresentation
bin100000010101011…
…1010110111101000
32210121121100120221
41000222322313220
54210224234000
6255355055424
735613200620
oct10052726750
92717540527
101084993000
115074a5333
12263441574
13143a280c0
14a4153880
15653be61a
hex40abade8

1084993000 has 128 divisors (see below), whose sum is σ = 3125041920. Its totient is φ = 343353600.

The previous prime is 1084992991. The next prime is 1084993033. The reversal of 1084993000 is 3994801.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 85039 + ... + 96961.

It is an arithmetic number, because the mean of its divisors is an integer number (24414390).

Almost surely, 21084993000 is an apocalyptic number.

1084993000 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 1084993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562520960).

1084993000 is an abundant number, since it is smaller than the sum of its proper divisors (2040048920).

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

1084993000 is a wasteful number, since it uses less digits than its factorization.

1084993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 1084993000 is about 32939.2319279002. The cubic root of 1084993000 is about 1027.5642321265.

The spelling of 1084993000 in words is "one billion, eighty-four million, nine hundred ninety-three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 11923 13000 18200 22750 23846 45500 47692 59615 83461 91000 95384 119230 154999 166922 238460 298075 309998 333844 417305 476920 596150 619996 667688 774995 834610 1084993 1192300 1239992 1490375 1549990 1669220 2086525 2169986 2384600 2980750 3099980 3338440 3874975 4173050 4339972 5424965 5961500 6199960 7749950 8346100 8679944 10432625 10849930 11923000 15499900 16692200 19374875 20865250 21699860 27124825 30999800 38749750 41730500 43399720 54249650 77499500 83461000 108499300 135624125 154999000 216998600 271248250 542496500 1084993000