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1315730560 = 2752055829
BaseRepresentation
bin100111001101100…
…0111010010000000
310101200210001000111
41032123013102000
510143311334220
6334320401104
744414345104
oct11633072200
93350701014
101315730560
11615771931
12308776194
1317c784cc1
14c6a57904
157a79b15a
hex4e6c7480

1315730560 has 32 divisors (see below), whose sum is σ = 3145419900. Its totient is φ = 526291968.

The previous prime is 1315730557. The next prime is 1315730561. The reversal of 1315730560 is 650375131.

It can be written as a sum of positive squares in 2 ways, for example, as 1315077696 + 652864 = 36264^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13157305602 = 3462293813035827200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1315730561) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1027275 + ... + 1028554.

Almost surely, 21315730560 is an apocalyptic number.

1315730560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315730560 is an abundant number, since it is smaller than the sum of its proper divisors (1829689340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1315730560 is an equidigital number, since it uses as much as digits as its factorization.

1315730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055848 (or 2055836 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 1315730560 is about 36273.0004273151. Note that the first 3 decimals coincide. The cubic root of 1315730560 is about 1095.7773536761. Note that the first 3 decimals are identical.

Subtracting from 1315730560 its sum of digits (31), we obtain a square (1315730529 = 362732).

The spelling of 1315730560 in words is "one billion, three hundred fifteen million, seven hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2055829 4111658 8223316 10279145 16446632 20558290 32893264 41116580 65786528 82233160 131573056 164466320 263146112 328932640 657865280 1315730560