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127296 = 26321317
BaseRepresentation
bin11111000101000000
320110121200
4133011000
513033141
62421200
71040061
oct370500
9213550
10127296
1187704
1261800
1345c30
1434568
1527ab6
hex1f140

127296 has 84 divisors (see below), whose sum is σ = 416052. Its totient is φ = 36864.

The previous prime is 127291. The next prime is 127297. The reversal of 127296 is 692721.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 69696 = 240^2 + 264^2 .

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127291) by changing a digit.

127296 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 7480 + ... + 7496.

It is an arithmetic number, because the mean of its divisors is an integer number (4953).

2127296 is an apocalyptic number.

127296 is a gapful number since it is divisible by the number (16) 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 127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208026).

127296 is an abundant number, since it is smaller than the sum of its proper divisors (288756).

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

127296 is a wasteful number, since it uses less digits than its factorization.

127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 35 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 127296 is about 356.7856499356. The cubic root of 127296 is about 50.3042778766.

The spelling of 127296 in words is "one hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 64 68 72 78 96 102 104 117 136 144 153 156 192 204 208 221 234 272 288 306 312 408 416 442 468 544 576 612 624 663 816 832 884 936 1088 1224 1248 1326 1632 1768 1872 1989 2448 2496 2652 3264 3536 3744 3978 4896 5304 7072 7488 7956 9792 10608 14144 15912 21216 31824 42432 63648 127296