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1288366097 = 17121762273
BaseRepresentation
bin100110011001010…
…1110100000010001
310022210021210000212
41030302232200101
510114310203342
6331502053505
743632634244
oct11462564021
93283253025
101288366097
11601281577
122bb57a295
13176bc3805
14c317325b
1578193182
hex4ccae811

1288366097 has 8 divisors (see below), whose sum is σ = 1365295176. Its totient is φ = 1211564032.

The previous prime is 1288366081. The next prime is 1288366109. The reversal of 1288366097 is 7906638821.

It can be written as a sum of positive squares in 4 ways, for example, as 180741136 + 1107624961 = 13444^2 + 33281^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1288366097 - 24 = 1288366081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1288366297) 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 7 ways as a sum of consecutive naturals, for example, 10448 + ... + 51825.

It is an arithmetic number, because the mean of its divisors is an integer number (170661897).

Almost surely, 21288366097 is an apocalyptic number.

1288366097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1288366097 is a deficient number, since it is larger than the sum of its proper divisors (76929079).

1288366097 is a wasteful number, since it uses less digits than its factorization.

1288366097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63507.

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 1288366097 is about 35893.8169745153. The cubic root of 1288366097 is about 1088.1274408393.

The spelling of 1288366097 in words is "one billion, two hundred eighty-eight million, three hundred sixty-six thousand, ninety-seven".

Divisors: 1 17 1217 20689 62273 1058641 75786241 1288366097