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1080000 = 263354
BaseRepresentation
bin100000111101011000000
32000212111000
410013223000
5234030000
635052000
712115455
oct4075300
92025430
101080000
11678469
12441000
132ba76c
1420182c
15165000
hex107ac0

1080000 has 140 divisors (see below), whose sum is σ = 3967480. Its totient is φ = 288000.

The previous prime is 1079999. The next prime is 1080007. The reversal of 1080000 is 801.

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 Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1080007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215998 + ... + 216002.

21080000 is an apocalyptic number.

1080000 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 1080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983740).

1080000 is an abundant number, since it is smaller than the sum of its proper divisors (2887480).

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

1080000 is an frugal number, since it uses more digits than its factorization.

1080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1080000 is about 1039.2304845413. The cubic root of 1080000 is about 102.5985568006.

Adding to 1080000 its reverse (801), we get a palindrome (1080801).

The spelling of 1080000 in words is "one million, eighty 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 96 100 108 120 125 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 400 432 450 480 500 540 576 600 625 675 720 750 800 864 900 960 1000 1080 1125 1200 1250 1350 1440 1500 1600 1728 1800 1875 2000 2160 2250 2400 2500 2700 2880 3000 3375 3600 3750 4000 4320 4500 4800 5000 5400 5625 6000 6750 7200 7500 8000 8640 9000 10000 10800 11250 12000 13500 14400 15000 16875 18000 20000 21600 22500 24000 27000 30000 33750 36000 40000 43200 45000 54000 60000 67500 72000 90000 108000 120000 135000 180000 216000 270000 360000 540000 1080000