Search a number
-
+
1305346137 = 36112495711
BaseRepresentation
bin100110111001110…
…0000000001011001
310100222020110021020
41031303200001121
510133132034022
6333310033053
744230154604
oct11563400131
93328213236
101305346137
1160a919967
123051a8789
1317a58a484
14c551333b
15798e935c
hex4dce0059

1305346137 has 16 divisors (see below), whose sum is σ = 1770720000. Its totient is φ = 855129600.

The previous prime is 1305346129. The next prime is 1305346153. The reversal of 1305346137 is 7316435031.

It is not a de Polignac number, because 1305346137 - 23 = 1305346129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1305346098 and 1305346107.

It is not an unprimeable number, because it can be changed into a prime (1305346127) 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 15 ways as a sum of consecutive naturals, for example, 225712 + ... + 231422.

It is an arithmetic number, because the mean of its divisors is an integer number (110670000).

Almost surely, 21305346137 is an apocalyptic number.

It is an amenable number.

1305346137 is a deficient number, since it is larger than the sum of its proper divisors (465373863).

1305346137 is a wasteful number, since it uses less digits than its factorization.

1305346137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 1305346137 is about 36129.5742709487. The cubic root of 1305346137 is about 1092.8869230139.

The spelling of 1305346137 in words is "one billion, three hundred five million, three hundred forty-six thousand, one hundred thirty-seven".

Divisors: 1 3 61 183 1249 3747 5711 17133 76189 228567 348371 1045113 7133039 21399117 435115379 1305346137