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115928289 = 32372972
BaseRepresentation
bin1101110100011…
…10110011100001
322002010202201100
412322032303201
5214134201124
615300425013
72605242231
oct672166341
9262122640
10115928289
115a490704
12329a8169
131b02c829
1411579cc1
15a29e1c9
hex6e8ece1

115928289 has 27 divisors (see below), whose sum is σ = 173892537. Its totient is φ = 74421504.

The previous prime is 115928269. The next prime is 115928297. The reversal of 115928289 is 982829511.

The square root of 115928289 is 10767.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17918289 + 98010000 = 4233^2 + 9900^2 .

It is not a de Polignac number, because 115928289 - 223 = 107539681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115928209) 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, 1195089 + ... + 1195185.

Almost surely, 2115928289 is an apocalyptic number.

115928289 is the 10767-th square number.

115928289 is the 5384-th centered octagonal number.

It is an amenable number.

115928289 is a deficient number, since it is larger than the sum of its proper divisors (57964248).

115928289 is an frugal number, since it uses more digits than its factorization.

115928289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The cubic root of 115928289 is about 487.5993769793.

It can be divided in two parts, 11592 and 8289, that added together give a square (19881 = 1412).

The spelling of 115928289 in words is "one hundred fifteen million, nine hundred twenty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 37 97 111 291 333 873 1369 3589 4107 9409 10767 12321 28227 32301 84681 132793 348133 398379 1044399 1195137 3133197 12880921 38642763 115928289