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864000 = 283353
BaseRepresentation
bin11010010111100000000
31121220012000
43102330000
5210122000
630304000
710225644
oct3227400
91556160
10864000
11540155
12358000
13243357
14186c24
15121000
hexd2f00

864000 has 144 divisors (see below), whose sum is σ = 3188640. Its totient is φ = 230400.

The previous prime is 863983. The next prime is 864007. The reversal of 864000 is 468.

Adding to 864000 its reverse (468), we get a palindrome (864468).

It can be divided in two parts, 8 and 64000, that multiplied together give a cube (512000 = 803).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172798 + ... + 172802.

2864000 is an apocalyptic number.

864000 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 864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594320).

864000 is an abundant number, since it is smaller than the sum of its proper divisors (2324640).

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

864000 is an equidigital number, since it uses as much as digits as its factorization.

864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 864000 is about 929.5160030898. The cubic root of 864000 is about 95.2440631181.

The spelling of 864000 in words is "eight hundred sixty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 540 576 600 640 675 720 750 768 800 864 900 960 1000 1080 1125 1152 1200 1280 1350 1440 1500 1600 1728 1800 1920 2000 2160 2250 2304 2400 2700 2880 3000 3200 3375 3456 3600 3840 4000 4320 4500 4800 5400 5760 6000 6400 6750 6912 7200 8000 8640 9000 9600 10800 11520 12000 13500 14400 16000 17280 18000 19200 21600 24000 27000 28800 32000 34560 36000 43200 48000 54000 57600 72000 86400 96000 108000 144000 172800 216000 288000 432000 864000