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896000 = 210537
BaseRepresentation
bin11011010110000000000
31200112002012
43122300000
5212133000
631112052
710421150
oct3326000
91615065
10896000
115621a6
12372628
13254aa1
14194760
1512a735
hexdac00

896000 has 88 divisors (see below), whose sum is σ = 2554656. Its totient is φ = 307200.

The previous prime is 895987. The next prime is 896003. The reversal of 896000 is 698.

It is not an unprimeable number, because it can be changed into a prime (896003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127997 + ... + 128003.

2896000 is an apocalyptic number.

896000 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 896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277328).

896000 is an abundant number, since it is smaller than the sum of its proper divisors (1658656).

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

896000 is an equidigital number, since it uses as much as digits as its factorization.

896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 896000 is about 946.5727652959. The cubic root of 896000 is about 96.4056905670.

Adding to 896000 its reverse (698), we get a palindrome (896698).

The spelling of 896000 in words is "eight hundred ninety-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 512 560 640 700 800 875 896 1000 1024 1120 1280 1400 1600 1750 1792 2000 2240 2560 2800 3200 3500 3584 4000 4480 5120 5600 6400 7000 7168 8000 8960 11200 12800 14000 16000 17920 22400 25600 28000 32000 35840 44800 56000 64000 89600 112000 128000 179200 224000 448000 896000