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1027407069 = 321341214177
BaseRepresentation
bin111101001111001…
…111110011011101
32122121020200112200
4331033033303131
54101004011234
6245540522113
734313546613
oct7517176335
92577220480
101027407069
11487a43157
122480b0339
13134b14ba0
149a6436b3
15602e6d99
hex3d3cfcdd

1027407069 has 24 divisors (see below), whose sum is σ = 1637176632. Its totient is φ = 616826880.

The previous prime is 1027407049. The next prime is 1027407089. The reversal of 1027407069 is 9607047201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1027407049) and next prime (1027407089).

It can be written as a sum of positive squares in 4 ways, for example, as 19027044 + 1008380025 = 4362^2 + 31755^2 .

It is not a de Polignac number, because 1027407069 - 211 = 1027405021 is a prime.

It is a super-2 number, since 2×10274070692 = 2111130570862341522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027407049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102292 + ... + 111885.

It is an arithmetic number, because the mean of its divisors is an integer number (68215693).

Almost surely, 21027407069 is an apocalyptic number.

It is an amenable number.

1027407069 is a deficient number, since it is larger than the sum of its proper divisors (609769563).

1027407069 is a wasteful number, since it uses less digits than its factorization.

1027407069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214237 (or 214234 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1027407069 is about 32053.1912451787. The cubic root of 1027407069 is about 1009.0534768659.

The spelling of 1027407069 in words is "one billion, twenty-seven million, four hundred seven thousand, sixty-nine".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 214177 642531 1927593 2784301 8352903 8781257 25058709 26343771 79031313 114156341 342469023 1027407069