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127009 = 1071187
BaseRepresentation
bin11111000000100001
320110020001
4133000201
513031014
62420001
71036201
oct370041
9213201
10127009
1187473
1261601
1345a6c
1434401
1527974
hex1f021

127009 has 4 divisors (see below), whose sum is σ = 128304. Its totient is φ = 125716.

The previous prime is 126989. The next prime is 127031. The reversal of 127009 is 900721.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 900721 = 4320947.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127009 is a prime.

It is a super-2 number, since 2×1270092 = 32262572162, which contains 22 as substring.

It is a Duffinian number.

127009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (127079) 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 3 ways as a sum of consecutive naturals, for example, 487 + ... + 700.

It is an arithmetic number, because the mean of its divisors is an integer number (32076).

2127009 is an apocalyptic number.

It is an amenable number.

127009 is a deficient number, since it is larger than the sum of its proper divisors (1295).

127009 is a wasteful number, since it uses less digits than its factorization.

127009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 127009 is about 356.3832207049. The cubic root of 127009 is about 50.2664442934.

It can be divided in two parts, 12 and 7009, that added together give a triangular number (7021 = T118).

The spelling of 127009 in words is "one hundred twenty-seven thousand, nine".

Divisors: 1 107 1187 127009