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2027971089 = 321728832
BaseRepresentation
bin111100011100000…
…0110001000010001
312020022222121100100
41320320012020101
513123130033324
6533122243013
7101153320104
oct17070061021
95208877310
102027971089
11950811771
124871b6469
132641bb9c1
1415349a73b
15bd08a4c9
hex78e06211

2027971089 has 27 divisors (see below), whose sum is σ = 3115266843. Its totient is φ = 1271011392.

The previous prime is 2027971081. The next prime is 2027971103. The reversal of 2027971089 is 9801797202.

The square root of 2027971089 is 45033.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1578870225 + 449100864 = 39735^2 + 21192^2 .

It is not a de Polignac number, because 2027971089 - 23 = 2027971081 is a prime.

It is a super-2 number, since 2×20279710892 = 8225333475639691842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2027971081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2296242 + ... + 2297124.

Almost surely, 22027971089 is an apocalyptic number.

2027971089 is the 45033-rd square number.

2027971089 is the 22517-th centered octagonal number.

It is an amenable number.

2027971089 is a deficient number, since it is larger than the sum of its proper divisors (1087295754).

2027971089 is an frugal number, since it uses more digits than its factorization.

2027971089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The cubic root of 2027971089 is about 1265.7674396686.

The spelling of 2027971089 in words is "two billion, twenty-seven million, nine hundred seventy-one thousand, eighty-nine".

Divisors: 1 3 9 17 51 153 289 867 883 2601 2649 7947 15011 45033 135099 255187 765561 779689 2296683 2339067 7017201 13254713 39764139 119292417 225330121 675990363 2027971089