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1520376064 = 2824372
BaseRepresentation
bin101101010011111…
…0001100100000000
310220221212002212121
41122213301210000
511103204013224
6410510534024
752450661164
oct13247614400
93827762777
101520376064
11710238049
12365207314
131b2ca790c
14105cc8ca4
158d721be4
hex5a9f1900

1520376064 has 27 divisors (see below), whose sum is σ = 3036058977. Its totient is φ = 759876096.

The previous prime is 1520376041. The next prime is 1520376083. The reversal of 1520376064 is 4606730251.

It is a happy number.

The square root of 1520376064 is 38992.

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., 1431865600 + 88510464 = 37840^2 + 9408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 622654 + ... + 625090.

Almost surely, 21520376064 is an apocalyptic number.

1520376064 is the 38992-nd square number.

It is an amenable number.

1520376064 is a deficient number, since it is larger than the sum of its proper divisors (1515682913).

1520376064 is an frugal number, since it uses more digits than its factorization.

1520376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The cubic root of 1520376064 is about 1149.8742304801.

The spelling of 1520376064 in words is "one billion, five hundred twenty million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 2437 4874 9748 19496 38992 77984 155968 311936 623872 5938969 11877938 23755876 47511752 95023504 190047008 380094016 760188032 1520376064