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1080801 = 322941101
BaseRepresentation
bin100000111110111100001
32000220120200
410013313201
5234041201
635055413
712121011
oct4076741
92026520
101080801
11679027
12441569
132bac37
14201c41
15165386
hex107de1

1080801 has 24 divisors (see below), whose sum is σ = 1670760. Its totient is φ = 672000.

The previous prime is 1080797. The next prime is 1080803.

It is a happy number.

1080801 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 904401 = 420^2 + 951^2 .

It is not a de Polignac number, because 1080801 - 22 = 1080797 is a prime.

1080801 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (1080803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10651 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

21080801 is an apocalyptic number.

It is an amenable number.

1080801 is a deficient number, since it is larger than the sum of its proper divisors (589959).

1080801 is a wasteful number, since it uses less digits than its factorization.

1080801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1080801 is about 1039.6157944164. The cubic root of 1080801 is about 102.6239151757.

It can be divided in two parts, 1080 and 801, that added together give a palindrome (1881).

The spelling of 1080801 in words is "one million, eighty thousand, eight hundred one".

Divisors: 1 3 9 29 41 87 101 123 261 303 369 909 1189 2929 3567 4141 8787 10701 12423 26361 37269 120089 360267 1080801