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1280128 = 2773137
BaseRepresentation
bin100111000100010000000
32102001000011
410320202000
5311431003
643234304
713611103
oct4704200
92361004
101280128
117a4863
12518994
1335a895
1425473a
151a446d
hex138880

1280128 has 32 divisors (see below), whose sum is σ = 2604060. Its totient is φ = 626688.

The previous prime is 1280119. The next prime is 1280129. The reversal of 1280128 is 8210821.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 7744 = 1128^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1280099 and 1280108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1280129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9276 + ... + 9412.

21280128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302030).

1280128 is an abundant number, since it is smaller than the sum of its proper divisors (1323932).

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

1280128 is an equidigital number, since it uses as much as digits as its factorization.

1280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1280128 is about 1131.4274170268. The cubic root of 1280128 is about 108.5803237667.

Adding to 1280128 its reverse (8210821), we get a palindrome (9490949).

The spelling of 1280128 in words is "one million, two hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 137 146 274 292 548 584 1096 1168 2192 2336 4384 4672 8768 9344 10001 17536 20002 40004 80008 160016 320032 640064 1280128