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130768106 = 2731417349
BaseRepresentation
bin1111100101101…
…01110011101010
3100010001201010012
413302311303222
5231434034411
620550451522
73145340060
oct762656352
9303051105
10130768106
11678a7017
1237963ba2
13211272a1
1413520030
15b73118b
hex7cb5cea

130768106 has 32 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 52905600.

The previous prime is 130768103. The next prime is 130768109. The reversal of 130768106 is 601867031.

It is an interprime number because it is at equal distance from previous prime (130768103) and next prime (130768109).

It is not an unprimeable number, because it can be changed into a prime (130768103) 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 15 ways as a sum of consecutive naturals, for example, 14120 + ... + 21468.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2130768106 is an apocalyptic number.

130768106 is a deficient number, since it is larger than the sum of its proper divisors (106313494).

130768106 is a wasteful number, since it uses less digits than its factorization.

130768106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 130768106 is about 11435.3883187236. The cubic root of 130768106 is about 507.5754533643.

The spelling of 130768106 in words is "one hundred thirty million, seven hundred sixty-eight thousand, one hundred six".

Divisors: 1 2 7 14 31 41 62 82 217 287 434 574 1271 2542 7349 8897 14698 17794 51443 102886 227819 301309 455638 602618 1594733 2109163 3189466 4218326 9340579 18681158 65384053 130768106