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1310257 = 1327753
BaseRepresentation
bin100111111111000110001
32110120100001
410333320301
5313412012
644030001
714064664
oct4777061
92416301
101310257
11815463
12532301
1336b500
142616db
151ad357
hex13fe31

1310257 has 6 divisors (see below), whose sum is σ = 1418982. Its totient is φ = 1209312.

The previous prime is 1310251. The next prime is 1310261. The reversal of 1310257 is 7520131.

It can be written as a sum of positive squares in 3 ways, for example, as 163216 + 1147041 = 404^2 + 1071^2 .

It is a de Polignac number, because none of the positive numbers 2k-1310257 is a prime.

It is a Duffinian number.

1310257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1310251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3708 + ... + 4045.

It is an arithmetic number, because the mean of its divisors is an integer number (236497).

21310257 is an apocalyptic number.

It is an amenable number.

1310257 is a deficient number, since it is larger than the sum of its proper divisors (108725).

1310257 is an equidigital number, since it uses as much as digits as its factorization.

1310257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1310257 is about 1144.6645796914. The cubic root of 1310257 is about 109.4255730205.

Adding to 1310257 its reverse (7520131), we get a palindrome (8830388).

The spelling of 1310257 in words is "one million, three hundred ten thousand, two hundred fifty-seven".

Divisors: 1 13 169 7753 100789 1310257