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130768641 = 3317284899
BaseRepresentation
bin1111100101101…
…01111100000001
3100010001201212000
413302311330001
5231434044031
620550454213
73145341453
oct762657401
9303051760
10130768641
11678a7463
1237964369
13211275c3
14135202d3
15b7313e6
hex7cb5f01

130768641 has 16 divisors (see below), whose sum is σ = 205128000. Its totient is φ = 82050624.

The previous prime is 130768637. The next prime is 130768663. The reversal of 130768641 is 146867031.

130768641 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 8 + 641 = 666.

It is not a de Polignac number, because 130768641 - 22 = 130768637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130768596 and 130768605.

It is not an unprimeable number, because it can be changed into a prime (130768601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141991 + ... + 142908.

It is an arithmetic number, because the mean of its divisors is an integer number (12820500).

Almost surely, 2130768641 is an apocalyptic number.

It is an amenable number.

130768641 is a deficient number, since it is larger than the sum of its proper divisors (74359359).

130768641 is a wasteful number, since it uses less digits than its factorization.

130768641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284925 (or 284919 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 130768641 is about 11435.4117109967. The cubic root of 130768641 is about 507.5761455629.

The spelling of 130768641 in words is "one hundred thirty million, seven hundred sixty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 17 27 51 153 459 284899 854697 2564091 4843283 7692273 14529849 43589547 130768641