Search a number
-
+
1129564881 = 321726592
BaseRepresentation
bin100001101010011…
…1100101011010001
32220201110211201100
41003110330223101
54303132034011
6304030255013
736664100034
oct10324745321
92821424640
101129564881
1152a6788a5
12276357469
131500328b3
14aa03701b
1569275d56
hex4353cad1

1129564881 has 27 divisors (see below), whose sum is σ = 1735849531. Its totient is φ = 707671104.

The previous prime is 1129564873. The next prime is 1129564901. The reversal of 1129564881 is 1884659211.

It is a happy number.

The square root of 1129564881 is 33609.

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

1129564881 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 564 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 879419025 + 250145856 = 29655^2 + 15816^2 .

It is not a de Polignac number, because 1129564881 - 23 = 1129564873 is a prime.

It is a super-2 number, since 2×11295648812 = 2551833640777088322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1129564841) 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, 1713730 + ... + 1714388.

Almost surely, 21129564881 is an apocalyptic number.

1129564881 is the 33609-th square number.

1129564881 is the 16805-th centered octagonal number.

It is an amenable number.

1129564881 is a deficient number, since it is larger than the sum of its proper divisors (606284650).

1129564881 is an frugal number, since it uses more digits than its factorization.

1129564881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 679 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The cubic root of 1129564881 is about 1041.4467294534.

It can be divided in two parts, 11295 and 64881, that added together give a square (76176 = 2762).

The spelling of 1129564881 in words is "one billion, one hundred twenty-nine million, five hundred sixty-four thousand, eight hundred eighty-one".

Divisors: 1 3 9 17 51 153 289 659 867 1977 2601 5931 11203 33609 100827 190451 434281 571353 1302843 1714059 3908529 7382777 22148331 66444993 125507209 376521627 1129564881