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1027162053 = 3441309293
BaseRepresentation
bin111101001110010…
…011111111000101
32122120210020110000
4331032103333011
54100423141203
6245531351513
734311506361
oct7516237705
92576706400
101027162053
11487896065
12247bb2599
13134a5a4c8
149a5bc2a1
15602994a3
hex3d393fc5

1027162053 has 20 divisors (see below), whose sum is σ = 1571832108. Its totient is φ = 668070720.

The previous prime is 1027162051. The next prime is 1027162067. The reversal of 1027162053 is 3502617201.

It is a happy number.

1027162053 is a `hidden beast` number, since 10 + 27 + 1 + 620 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102880449 + 924281604 = 10143^2 + 30402^2 .

It is not a de Polignac number, because 1027162053 - 21 = 1027162051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027162051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151326 + ... + 157967.

Almost surely, 21027162053 is an apocalyptic number.

It is an amenable number.

1027162053 is a deficient number, since it is larger than the sum of its proper divisors (544670055).

1027162053 is an equidigital number, since it uses as much as digits as its factorization.

1027162053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309346 (or 309337 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1027162053 is about 32049.3689953484. The cubic root of 1027162053 is about 1008.9732574766.

Adding to 1027162053 its reverse (3502617201), we get a palindrome (4529779254).

The spelling of 1027162053 in words is "one billion, twenty-seven million, one hundred sixty-two thousand, fifty-three".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 309293 927879 2783637 8350911 12681013 25052733 38043039 114129117 342387351 1027162053