Search a number
-
+
8130765 = 351947607
BaseRepresentation
bin11111000001000011001101
3120022002022110
4133001003031
54040141030
6450134233
7126052566
oct37010315
916262273
108130765
114653845
122881379
1318b8b06
14111916d
15aa91b0
hex7c10cd

8130765 has 32 divisors (see below), whose sum is σ = 14008320. Its totient is φ = 4014144.

The previous prime is 8130761. The next prime is 8130767. The reversal of 8130765 is 5670318.

It is not a de Polignac number, because 8130765 - 22 = 8130761 is a prime.

It is a super-2 number, since 2×81307652 = 132218678970450, which contains 22 as substring.

8130765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13092 + ... + 13698.

It is an arithmetic number, because the mean of its divisors is an integer number (437760).

Almost surely, 28130765 is an apocalyptic number.

It is an amenable number.

8130765 is a deficient number, since it is larger than the sum of its proper divisors (5877555).

8130765 is a wasteful number, since it uses less digits than its factorization.

With its successor (8130766) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (681).

8130765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 8130765 is about 2851.4496313279. The cubic root of 8130765 is about 201.0838243477.

The spelling of 8130765 in words is "eight million, one hundred thirty thousand, seven hundred sixty-five".

Divisors: 1 3 5 15 19 47 57 95 141 235 285 607 705 893 1821 2679 3035 4465 9105 11533 13395 28529 34599 57665 85587 142645 172995 427935 542051 1626153 2710255 8130765