Search a number
-
+
1920455329 = 13233712
BaseRepresentation
bin111001001110111…
…1101001010100001
311221211200020110011
41302131331022201
512413114032304
6514322004521
765406413062
oct16235751241
94854606404
101920455329
118a6057571
124571a6741
13247b46300
141430b0569
15b38edc04
hex7277d2a1

1920455329 has 9 divisors (see below), whose sum is σ = 2080163379. Its totient is φ = 1772202120.

The previous prime is 1920455323. The next prime is 1920455333. The reversal of 1920455329 is 9235540291.

The square root of 1920455329 is 43823.

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., 284091025 + 1636364304 = 16855^2 + 40452^2 .

It is not a de Polignac number, because 1920455329 - 29 = 1920454817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1920455291 and 1920455300.

It is not an unprimeable number, because it can be changed into a prime (1920455323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 568014 + ... + 571384.

Almost surely, 21920455329 is an apocalyptic number.

1920455329 is the 43823-rd square number.

1920455329 is the 21912-nd centered octagonal number.

It is an amenable number.

1920455329 is a deficient number, since it is larger than the sum of its proper divisors (159708050).

1920455329 is an frugal number, since it uses more digits than its factorization.

1920455329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The cubic root of 1920455329 is about 1242.9912455234.

The spelling of 1920455329 in words is "one billion, nine hundred twenty million, four hundred fifty-five thousand, three hundred twenty-nine".

Divisors: 1 13 169 3371 43823 569699 11363641 147727333 1920455329