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1296000000 = 2103456
BaseRepresentation
bin100110100111111…
…0110010000000000
310100022122121210000
41031033312100000
510123234000000
6332333440000
744054550441
oct11517662000
93308577700
101296000000
11605615a89
12302040000
13178667409
14c419d2c8
1578ba0000
hex4d3f6400

1296000000 has 385 divisors, whose sum is σ = 4837574797. Its totient is φ = 345600000.

The previous prime is 1295999987. The next prime is 1296000011. The reversal of 1296000000 is 6921.

The square root of 1296000000 is 36000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 1135420416 + 160579584 = 33696^2 + 12672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 259199998 + ... + 259200002.

Almost surely, 21296000000 is an apocalyptic number.

1296000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1296000000 is the 36000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296000000

1296000000 is an abundant number, since it is smaller than the sum of its proper divisors (3541574797).

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

1296000000 is an frugal number, since it uses more digits than its factorization.

1296000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 1296000000 is about 1090.2723556993.

Adding to 1296000000 its reverse (6921), we get a palindrome (1296006921).

The spelling of 1296000000 in words is "one billion, two hundred ninety-six million", and thus it is an aban number.