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127000 = 2353127
BaseRepresentation
bin11111000000011000
320110012201
4133000120
513031000
62415544
71036156
oct370030
9213181
10127000
1187465
12615b4
1345a63
14343d6
152796a
hex1f018

127000 has 32 divisors (see below), whose sum is σ = 299520. Its totient is φ = 50400.

The previous prime is 126989. The next prime is 127031. The reversal of 127000 is 721.

Adding to 127000 its reverse (721), we get a palindrome (127721).

It is a super-2 number, since 2×1270002 = 32258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 937 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2127000 is an apocalyptic number.

127000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

127000 is an abundant number, since it is smaller than the sum of its proper divisors (172520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127000 is a wasteful number, since it uses less digits than its factorization.

127000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 127000 is about 356.3705936241. The cubic root of 127000 is about 50.2652569531.

The spelling of 127000 in words is "one hundred twenty-seven thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 2540 3175 5080 6350 12700 15875 25400 31750 63500 127000