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1080200 = 235211491
BaseRepresentation
bin100000111101110001000
32000212202102
410013232020
5234031300
635052532
712116162
oct4075610
92025672
101080200
11678630
12441148
132ba894
14201932
151650d5
hex107b88

1080200 has 48 divisors (see below), whose sum is σ = 2745360. Its totient is φ = 392000.

The previous prime is 1080199. The next prime is 1080217. The reversal of 1080200 is 20801.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1955 + ... + 2445.

It is an arithmetic number, because the mean of its divisors is an integer number (57195).

21080200 is an apocalyptic number.

1080200 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 1080200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372680).

1080200 is an abundant number, since it is smaller than the sum of its proper divisors (1665160).

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

1080200 is a wasteful number, since it uses less digits than its factorization.

1080200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1080200 is about 1039.3267051317. The cubic root of 1080200 is about 102.6048896539.

It can be divided in two parts, 1080 and 200, that multiplied together give a cube (216000 = 603).

The spelling of 1080200 in words is "one million, eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 491 550 982 1100 1964 2200 2455 3928 4910 5401 9820 10802 12275 19640 21604 24550 27005 43208 49100 54010 98200 108020 135025 216040 270050 540100 1080200