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127933 = 132757
BaseRepresentation
bin11111001110111101
320111111021
4133032331
513043213
62424141
71041661
oct371675
9214437
10127933
1188133
1262051
1346300
14348a1
1527d8d
hex1f3bd

127933 has 6 divisors (see below), whose sum is σ = 138714. Its totient is φ = 117936.

The previous prime is 127931. The next prime is 127951. The reversal of 127933 is 339721.

It can be written as a sum of positive squares in 3 ways, for example, as 484 + 127449 = 22^2 + 357^2 .

It is not a de Polignac number, because 127933 - 21 = 127931 is a prime.

It is a Duffinian number.

127933 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 127898 and 127907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127931) 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, 210 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (23119).

127933 is a Friedman number, since it can be written as (3+7/2)*(3^9-1), using all its digits and the basic arithmetic operations.

2127933 is an apocalyptic number.

127933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127933 is a deficient number, since it is larger than the sum of its proper divisors (10781).

127933 is an equidigital number, since it uses as much as digits as its factorization.

127933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 770 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 127933 is about 357.6772287971. The cubic root of 127933 is about 50.3880472621.

The spelling of 127933 in words is "one hundred twenty-seven thousand, nine hundred thirty-three".

Divisors: 1 13 169 757 9841 127933