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128094000 = 2435337577
BaseRepresentation
bin1111010001010…
…00111100110000
322221000211221020
413220220330300
5230243002000
620413255440
73113531616
oct750507460
9287024836
10128094000
116633aa11
1236a94580
13206cc088
14130256b6
15b3a3ba0
hex7a28f30

128094000 has 160 divisors (see below), whose sum is σ = 424871616. Its totient is φ = 33177600.

The previous prime is 128093989. The next prime is 128094023. The reversal of 128094000 is 490821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221712 + ... + 222288.

Almost surely, 2128094000 is an apocalyptic number.

128094000 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 128094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212435808).

128094000 is an abundant number, since it is smaller than the sum of its proper divisors (296777616).

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

128094000 is a wasteful number, since it uses less digits than its factorization.

128094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 128094000 is about 11317.8619889094. The cubic root of 128094000 is about 504.0917570405.

The spelling of 128094000 in words is "one hundred twenty-eight million, ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 577 592 600 740 750 888 925 1000 1110 1154 1200 1480 1500 1731 1776 1850 2000 2220 2308 2775 2885 2960 3000 3462 3700 4440 4616 4625 5550 5770 6000 6924 7400 8655 8880 9232 9250 11100 11540 13848 13875 14425 14800 17310 18500 21349 22200 23080 27696 27750 28850 34620 37000 42698 43275 44400 46160 55500 57700 64047 69240 72125 74000 85396 86550 106745 111000 115400 128094 138480 144250 170792 173100 213490 216375 222000 230800 256188 288500 320235 341584 346200 426980 432750 512376 533725 577000 640470 692400 853960 865500 1024752 1067450 1154000 1280940 1601175 1707920 1731000 2134900 2561880 2668625 3202350 3462000 4269800 5123760 5337250 6404700 8005875 8539600 10674500 12809400 16011750 21349000 25618800 32023500 42698000 64047000 128094000