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13027777 = 72265873
BaseRepresentation
bin110001101100…
…100111000001
3220111212202021
4301230213001
511313342102
61143121441
7215506600
oct61544701
926455667
1013027777
117398a64
124443281
132911a59
141a31a37
151225137
hexc6c9c1

13027777 has 6 divisors (see below), whose sum is σ = 15154818. Its totient is φ = 11166624.

The previous prime is 13027769. The next prime is 13027793. The reversal of 13027777 is 77772031.

It can be written as a sum of positive squares in only one way, i.e., 12895281 + 132496 = 3591^2 + 364^2 .

It is not a de Polignac number, because 13027777 - 23 = 13027769 is a prime.

It is a super-4 number, since 4×130277774 (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

13027777 is a modest number, since divided by 7777 gives 1302 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13027717) 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 5 ways as a sum of consecutive naturals, for example, 132888 + ... + 132985.

It is an arithmetic number, because the mean of its divisors is an integer number (2525803).

Almost surely, 213027777 is an apocalyptic number.

It is an amenable number.

13027777 is a deficient number, since it is larger than the sum of its proper divisors (2127041).

13027777 is an equidigital number, since it uses as much as digits as its factorization.

13027777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265887 (or 265880 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 34.

The square root of 13027777 is about 3609.4011968746. The cubic root of 13027777 is about 235.3008189280.

The spelling of 13027777 in words is "thirteen million, twenty-seven thousand, seven hundred seventy-seven".

Divisors: 1 7 49 265873 1861111 13027777