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127007 = 1731241
BaseRepresentation
bin11111000000011111
320110012222
4133000133
513031012
62415555
71036166
oct370037
9213188
10127007
1187471
12615bb
1345a6a
14343dd
1527972
hex1f01f

127007 has 8 divisors (see below), whose sum is σ = 139392. Its totient is φ = 115200.

The previous prime is 126989. The next prime is 127031. The reversal of 127007 is 700721.

It is a happy number.

127007 is nontrivially palindromic in base 2 and base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127007 - 26 = 126943 is a prime.

It is a super-2 number, since 2×1270072 = 32261556098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127007.

It is not an unprimeable number, because it can be changed into a prime (127037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (17424).

2127007 is an apocalyptic number.

127007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

127007 is a deficient number, since it is larger than the sum of its proper divisors (12385).

127007 is a wasteful number, since it uses less digits than its factorization.

127007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 127007 is about 356.3804147256. The cubic root of 127007 is about 50.2661804448.

Adding to 127007 its reverse (700721), we get a palindrome (827728).

The spelling of 127007 in words is "one hundred twenty-seven thousand, seven", and thus it is an iban number.

Divisors: 1 17 31 241 527 4097 7471 127007