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1608149140 = 225136185189
BaseRepresentation
bin101111111011010…
…0110100010010100
311011002000102220021
41133312212202110
511243141233030
6423324114524
754565020313
oct13766464224
94132012807
101608149140
11755838284
1238a695a44
131c822a050
1411381627a
15962ad97a
hex5fda6894

1608149140 has 24 divisors (see below), whose sum is σ = 3636891720. Its totient is φ = 593778048.

The previous prime is 1608149111. The next prime is 1608149159. The reversal of 1608149140 is 419418061.

It can be written as a sum of positive squares in 4 ways, for example, as 103795344 + 1504353796 = 10188^2 + 38786^2 .

It is a super-2 number, since 2×16081491402 = 5172287312965479200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1608149096 and 1608149105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3092335 + ... + 3092854.

It is an arithmetic number, because the mean of its divisors is an integer number (151537155).

Almost surely, 21608149140 is an apocalyptic number.

1608149140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608149140 is an abundant number, since it is smaller than the sum of its proper divisors (2028742580).

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

1608149140 is a wasteful number, since it uses less digits than its factorization.

1608149140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185211 (or 6185209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1608149140 is about 40101.7348751896. The cubic root of 1608149140 is about 1171.5894194445.

The spelling of 1608149140 in words is "one billion, six hundred eight million, one hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 6185189 12370378 24740756 30925945 61851890 80407457 123703780 160814914 321629828 402037285 804074570 1608149140