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1027127497 = 11213761961
BaseRepresentation
bin111101001110001…
…011100011001001
32122120201111001011
4331032023203021
54100421034442
6245530523521
734311303544
oct7516134311
92576644034
101027127497
11487872100
12247b965a1
13134a47866
149a5ad85b
156028e117
hex3d38b8c9

1027127497 has 12 divisors (see below), whose sum is σ = 1137250548. Its totient is φ = 926921600.

The previous prime is 1027127473. The next prime is 1027127513. The reversal of 1027127497 is 7947217201.

It can be written as a sum of positive squares in 2 ways, for example, as 767788681 + 259338816 = 27709^2 + 16104^2 .

It is a de Polignac number, because none of the positive numbers 2k-1027127497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027127417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14404 + ... + 47557.

It is an arithmetic number, because the mean of its divisors is an integer number (94770879).

Almost surely, 21027127497 is an apocalyptic number.

It is an amenable number.

1027127497 is a deficient number, since it is larger than the sum of its proper divisors (110123051).

1027127497 is a wasteful number, since it uses less digits than its factorization.

1027127497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62120 (or 62109 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The square root of 1027127497 is about 32048.8298850364. The cubic root of 1027127497 is about 1008.9619426535.

The spelling of 1027127497 in words is "one billion, twenty-seven million, one hundred twenty-seven thousand, four hundred ninety-seven".

Divisors: 1 11 121 137 1507 16577 61961 681571 7497281 8488657 93375227 1027127497