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1082120 = 235132081
BaseRepresentation
bin100001000001100001000
32000222101112
410020030020
5234111440
635105452
712124604
oct4101410
92028345
101082120
1167a016
12442288
132bb710
14202504
15165965
hex108308

1082120 has 32 divisors (see below), whose sum is σ = 2623320. Its totient is φ = 399360.

The previous prime is 1082099. The next prime is 1082129. The reversal of 1082120 is 212801.

It can be written as a sum of positive squares in 4 ways, for example, as 611524 + 470596 = 782^2 + 686^2 .

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1082095 and 1082104.

It is not an unprimeable number, because it can be changed into a prime (1082129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 1560.

21082120 is an apocalyptic number.

1082120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082120 is an abundant number, since it is smaller than the sum of its proper divisors (1541200).

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

1082120 is a wasteful number, since it uses less digits than its factorization.

1082120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1082120 is about 1040.2499699591. The cubic root of 1082120 is about 102.6656453113.

Adding to 1082120 its reverse (212801), we get a palindrome (1294921).

The spelling of 1082120 in words is "one million, eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2081 4162 8324 10405 16648 20810 27053 41620 54106 83240 108212 135265 216424 270530 541060 1082120