Search a number
-
+
1520430368 = 256121132
BaseRepresentation
bin101101010011111…
…1110110100100000
310220221221212100212
41122213332310200
511103212232433
6410512033252
752451305412
oct13247766440
93827855325
101520430368
11710274926
12365232828
131b2cc6552
14105d009b2
158d732d48
hex5a9fed20

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".

Divisors: 1 2 4 8 16 32 61 113 122 226 244 452 488 904 976 1808 1952 3616 3721 6893 7442 12769 13786 14884 25538 27572 29768 51076 55144 59536 102152 110288 119072 204304 220576 408608 420473 778909 840946 1557818 1681892 3115636 3363784 6231272 6727568 12462544 13455136 24925088 47513449 95026898 190053796 380107592 760215184 1520430368