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127040 = 265397
BaseRepresentation
bin11111000001000000
320110021012
4133001000
513031130
62420052
71036244
oct370100
9213235
10127040
11874a1
1261628
1345a94
1434424
1527995
hex1f040

127040 has 28 divisors (see below), whose sum is σ = 303276. Its totient is φ = 50688.

The previous prime is 127037. The next prime is 127051. The reversal of 127040 is 40721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 61504 = 256^2 + 248^2 .

It is a super-2 number, since 2×1270402 = 32278323200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127040.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122 + ... + 518.

2127040 is an apocalyptic number.

127040 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 127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151638).

127040 is an abundant number, since it is smaller than the sum of its proper divisors (176236).

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

127040 is an equidigital number, since it uses as much as digits as its factorization.

127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 127040 is about 356.4267105591. The cubic root of 127040 is about 50.2705335915.

Adding to 127040 its reverse (40721), we get a palindrome (167761).

The spelling of 127040 in words is "one hundred twenty-seven thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 397 794 1588 1985 3176 3970 6352 7940 12704 15880 25408 31760 63520 127040