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1608080 = 24520101
BaseRepresentation
bin110001000100110010000
310000200212112
412020212100
5402424310
654244452
716445165
oct6104620
93020775
101608080
119a91a1
12656728
13443c36
142dc06c
1521b705
hex188990

1608080 has 20 divisors (see below), whose sum is σ = 3738972. Its totient is φ = 643200.

The previous prime is 1608041. The next prime is 1608083. The reversal of 1608080 is 808061.

It can be written as a sum of positive squares in 2 ways, for example, as 559504 + 1048576 = 748^2 + 1024^2 .

It is a tau number, because it is divible by the number of its divisors (20).

1608080 is a modest number, since divided by 8080 gives 160 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1608083) 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 3 ways as a sum of consecutive naturals, for example, 9971 + ... + 10130.

21608080 is an apocalyptic number.

1608080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608080 is an abundant number, since it is smaller than the sum of its proper divisors (2130892).

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

1608080 is a wasteful number, since it uses less digits than its factorization.

1608080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20114 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1608080 is about 1268.1009423544. The cubic root of 1608080 is about 117.1572628951.

The spelling of 1608080 in words is "one million, six hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 20101 40202 80404 100505 160808 201010 321616 402020 804040 1608080