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1327157 = 1327853
BaseRepresentation
bin101000100000000110101
32111102111222
411010000311
5314432112
644240125
714165156
oct5040065
92442458
101327157
11827127
12540045
13376100
1426792d
151b3372
hex144035

1327157 has 6 divisors (see below), whose sum is σ = 1437282. Its totient is φ = 1224912.

The previous prime is 1327147. The next prime is 1327159. The reversal of 1327157 is 7517231.

1327157 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 130321 + 1196836 = 361^2 + 1094^2 .

It is not a de Polignac number, because 1327157 - 210 = 1326133 is a prime.

It is a super-2 number, since 2×13271572 = 3522691405298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3758 + ... + 4095.

It is an arithmetic number, because the mean of its divisors is an integer number (239547).

21327157 is an apocalyptic number.

It is an amenable number.

1327157 is a deficient number, since it is larger than the sum of its proper divisors (110125).

1327157 is an equidigital number, since it uses as much as digits as its factorization.

1327157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7866 counting only the distinct ones).

The product of its digits is 1470, while the sum is 26.

The square root of 1327157 is about 1152.0230032426. The cubic root of 1327157 is about 109.8940301769.

The spelling of 1327157 in words is "one million, three hundred twenty-seven thousand, one hundred fifty-seven".

Divisors: 1 13 169 7853 102089 1327157