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130727737 = 722991997
BaseRepresentation
bin1111100101010…
…11111100111001
3100002222122202001
413302223330321
5231431241422
620545541001
73145111300
oct762537471
9302878661
10130727737
1167879758
1237944761
1321111aba
141350d437
15b724227
hex7cabf39

130727737 has 12 divisors (see below), whose sum is σ = 157316580. Its totient is φ = 108187296.

The previous prime is 130727731. The next prime is 130727741. The reversal of 130727737 is 737727031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73891216 + 56836521 = 8596^2 + 7539^2 .

It is not a de Polignac number, because 130727737 - 27 = 130727609 is a prime.

It is a super-2 number, since 2×1307277372 = 34179482442282338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130727696 and 130727705.

It is not an unprimeable number, because it can be changed into a prime (130727731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44578 + ... + 47419.

It is an arithmetic number, because the mean of its divisors is an integer number (13109715).

Almost surely, 2130727737 is an apocalyptic number.

It is an amenable number.

130727737 is a deficient number, since it is larger than the sum of its proper divisors (26588843).

130727737 is an equidigital number, since it uses as much as digits as its factorization.

130727737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92040 (or 92033 counting only the distinct ones).

The product of its (nonzero) digits is 43218, while the sum is 37.

The square root of 130727737 is about 11433.6230915664. The cubic root of 130727737 is about 507.5232173286.

The spelling of 130727737 in words is "one hundred thirty million, seven hundred twenty-seven thousand, seven hundred thirty-seven".

Divisors: 1 7 29 49 203 1421 91997 643979 2667913 4507853 18675391 130727737