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1320144020 = 225135077477
BaseRepresentation
bin100111010101111…
…1100110010010100
310102000002021010222
41032223330302110
510200424102040
6334555133512
744500016246
oct11653746224
93360067128
101320144020
11618206818
1230a144298
1318066bb10
14c7486096
157ad6dbb5
hex4eafcc94

1320144020 has 24 divisors (see below), whose sum is σ = 2985557064. Its totient is φ = 487437696.

The previous prime is 1320144019. The next prime is 1320144097. The reversal of 1320144020 is 204410231.

It can be written as a sum of positive squares in 4 ways, for example, as 39363076 + 1280780944 = 6274^2 + 35788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1320144020.

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, 2538479 + ... + 2538998.

It is an arithmetic number, because the mean of its divisors is an integer number (124398211).

Almost surely, 21320144020 is an apocalyptic number.

1320144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320144020 is an abundant number, since it is smaller than the sum of its proper divisors (1665413044).

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

1320144020 is a wasteful number, since it uses less digits than its factorization.

1320144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077499 (or 5077497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1320144020 is about 36333.7862051287. The cubic root of 1320144020 is about 1097.0012040781.

Adding to 1320144020 its reverse (204410231), we get a palindrome (1524554251).

The spelling of 1320144020 in words is "one billion, three hundred twenty million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5077477 10154954 20309908 25387385 50774770 66007201 101549540 132014402 264028804 330036005 660072010 1320144020