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860240000 = 275410753
BaseRepresentation
bin110011010001100…
…011100010000000
32012221200201102202
4303101203202000
53230210140000
6221205532332
730213630224
oct6321434200
92187621382
10860240000
11401646054
122001140a8
131092b5169
148236a784
15507c5dd5
hex33463880

860240000 has 80 divisors (see below), whose sum is σ = 2141712870. Its totient is φ = 344064000.

The previous prime is 860239981. The next prime is 860240009. The reversal of 860240000 is 42068.

It can be written as a sum of positive squares in 5 ways, for example, as 121705024 + 738534976 = 11032^2 + 27176^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (860240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74624 + ... + 85376.

Almost surely, 2860240000 is an apocalyptic number.

860240000 is a gapful number since it is divisible by the number (80) 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 860240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070856435).

860240000 is an abundant number, since it is smaller than the sum of its proper divisors (1281472870).

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

860240000 is an equidigital number, since it uses as much as digits as its factorization.

860240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 860240000 is about 29329.8482778210. The cubic root of 860240000 is about 951.0569952679.

Adding to 860240000 its reverse (42068), we get a palindrome (860282068).

The spelling of 860240000 in words is "eight hundred sixty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 10753 16000 20000 21506 40000 43012 53765 80000 86024 107530 172048 215060 268825 344096 430120 537650 688192 860240 1075300 1344125 1376384 1720480 2150600 2688250 3440960 4301200 5376500 6720625 6881920 8602400 10753000 13441250 17204800 21506000 26882500 34409600 43012000 53765000 86024000 107530000 172048000 215060000 430120000 860240000