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1281088 = 2637541
BaseRepresentation
bin100111000110001000000
32102002022201
410320301000
5311443323
643242544
713613644
oct4706100
92362281
101281088
117a5556
12519454
1335b153
14254c24
151a48ad
hex138c40

1281088 has 28 divisors (see below), whose sum is σ = 2615692. Its totient is φ = 622080.

The previous prime is 1281083. The next prime is 1281089. The reversal of 1281088 is 8801821.

It can be written as a sum of positive squares in 2 ways, for example, as 861184 + 419904 = 928^2 + 648^2 .

It is not an unprimeable number, because it can be changed into a prime (1281083) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2098 + ... + 2638.

21281088 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 1281088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307846).

1281088 is an abundant number, since it is smaller than the sum of its proper divisors (1334604).

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

1281088 is an equidigital number, since it uses as much as digits as its factorization.

1281088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 1281088 is about 1131.8515803762. The cubic root of 1281088 is about 108.6074593513.

The spelling of 1281088 in words is "one million, two hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 541 592 1082 1184 2164 2368 4328 8656 17312 20017 34624 40034 80068 160136 320272 640544 1281088