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1296435413 = 71330834621
BaseRepresentation
bin100110101000110…
…0000100011010101
310100100110202001102
41031101200203111
510123341413123
6332351035445
744061343040
oct11521404325
93310422042
101296435413
11605893129
1230220bb85
1317878a660
14c4273c57
1578c39028
hex4d4608d5

1296435413 has 16 divisors (see below), whose sum is σ = 1596475776. Its totient is φ = 1025196480.

The previous prime is 1296435403. The next prime is 1296435421. The reversal of 1296435413 is 3145346921.

It is not a de Polignac number, because 1296435413 - 28 = 1296435157 is a prime.

It is a super-3 number, since 3×12964354133 (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296435403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 278243 + ... + 282863.

It is an arithmetic number, because the mean of its divisors is an integer number (99779736).

Almost surely, 21296435413 is an apocalyptic number.

1296435413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1296435413 is a deficient number, since it is larger than the sum of its proper divisors (300040363).

1296435413 is a wasteful number, since it uses less digits than its factorization.

1296435413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724.

The product of its digits is 77760, while the sum is 38.

The square root of 1296435413 is about 36006.0468949314. The cubic root of 1296435413 is about 1090.3944404739.

The spelling of 1296435413 in words is "one billion, two hundred ninety-six million, four hundred thirty-five thousand, four hundred thirteen".

Divisors: 1 7 13 91 3083 4621 21581 32347 40079 60073 280553 420511 14246543 99725801 185205059 1296435413