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130505607 = 336077963
BaseRepresentation
bin1111100011101…
…01101110000111
3100002120101001000
413301311232013
5231402134412
620541104343
73143164551
oct761655607
9302511030
10130505607
1167737881
12378580b3
132106496b
14134924d1
15b6cd4dc
hex7c75b87

130505607 has 16 divisors (see below), whose sum is σ = 193684480. Its totient is φ = 86849496.

The previous prime is 130505603. The next prime is 130505633. The reversal of 130505607 is 706505031.

130505607 is a `hidden beast` number, since 1 + 3 + 0 + 50 + 5 + 607 = 666.

It is not a de Polignac number, because 130505607 - 22 = 130505603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130505603) 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, 12408 + ... + 20370.

It is an arithmetic number, because the mean of its divisors is an integer number (12105280).

Almost surely, 2130505607 is an apocalyptic number.

130505607 is a deficient number, since it is larger than the sum of its proper divisors (63178873).

130505607 is an equidigital number, since it uses as much as digits as its factorization.

130505607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 130505607 is about 11423.9050678829. The cubic root of 130505607 is about 507.2355965370.

The spelling of 130505607 in words is "one hundred thirty million, five hundred five thousand, six hundred seven".

Divisors: 1 3 9 27 607 1821 5463 7963 16389 23889 71667 215001 4833541 14500623 43501869 130505607