Base | Representation |
---|---|
bin | 101101010011111… |
… | …1110110100100000 |
3 | 10220221221212100212 |
4 | 1122213332310200 |
5 | 11103212232433 |
6 | 410512033252 |
7 | 52451305412 |
oct | 13247766440 |
9 | 3827855325 |
10 | 1520430368 |
11 | 710274926 |
12 | 365232828 |
13 | 1b2cc6552 |
14 | 105d009b2 |
15 | 8d732d48 |
hex | 5a9fed20 |
1520430368 has 54 divisors (see below), whose sum is σ = 3070392507. Its totient is φ = 741135360.
The previous prime is 1520430367. The next prime is 1520430383. The reversal of 1520430368 is 8630340251.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 313006864 + 1207423504 = 17692^2 + 34748^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=27572.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1520430361) 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, 13455080 + ... + 13455192.
Almost surely, 21520430368 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1520430368
1520430368 is an abundant number, since it is smaller than the sum of its proper divisors (1549962139).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1520430368 is an frugal number, since it uses more digits than its factorization.
1520430368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 358 (or 176 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 32.
The square root of 1520430368 is about 38992.6963417510. The cubic root of 1520430368 is about 1149.8879205200.
Multiplying 1520430368 by its sum of digits (32), we get a square (48653771776 = 2205762).
1520430368 divided by its sum of digits (32) gives a square (47513449 = 68932).
The spelling of 1520430368 in words is "one billion, five hundred twenty million, four hundred thirty thousand, three hundred sixty-eight".
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