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1336304125 = 5313217612
BaseRepresentation
bin100111110100110…
…0110000111111101
310110010111021122101
41033221212013331
510214043213000
6340333345101
745054253252
oct11751460775
93403437571
101336304125
11626344082
12313638191
13183b09500
14c9691429
157c4b1e6a
hex4fa661fd

1336304125 has 72 divisors (see below), whose sum is σ = 1943947512. Its totient is φ = 913536000.

The previous prime is 1336304093. The next prime is 1336304129. The reversal of 1336304125 is 5214036331.

It can be written as a sum of positive squares in 36 ways, for example, as 319587129 + 1016716996 = 17877^2 + 31886^2 .

It is not a de Polignac number, because 1336304125 - 25 = 1336304093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1336304093 and 1336304102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336304129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21906595 + ... + 21906655.

It is an arithmetic number, because the mean of its divisors is an integer number (26999271).

Almost surely, 21336304125 is an apocalyptic number.

It is an amenable number.

1336304125 is a deficient number, since it is larger than the sum of its proper divisors (607643387).

1336304125 is an equidigital number, since it uses as much as digits as its factorization.

1336304125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 1336304125 is about 36555.4937731663. The cubic root of 1336304125 is about 1101.4592547636.

The spelling of 1336304125 in words is "one billion, three hundred thirty-six million, three hundred four thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 61 65 85 125 169 221 305 325 425 793 845 1037 1105 1525 1625 2125 2873 3721 3965 4225 5185 5525 7625 10309 13481 14365 18605 19825 21125 25925 27625 48373 51545 63257 67405 71825 93025 99125 129625 175253 241865 257725 316285 337025 359125 465125 628849 822341 876265 1209325 1288625 1581425 1685125 3144245 4111705 4381325 6046625 7907125 10690433 15721225 20558525 21906625 53452165 78606125 102792625 267260825 1336304125