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1248128 = 2772199
BaseRepresentation
bin100110000101110000000
32100102002222
410300232000
5304420003
642430212
713415600
oct4605600
92312088
101248128
11782812
12502368
1334914b
14246c00
15199c38
hex130b80

1248128 has 48 divisors (see below), whose sum is σ = 2907000. Its totient is φ = 532224.

The previous prime is 1248119. The next prime is 1248151. The reversal of 1248128 is 8218421.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1248097 and 1248106.

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 5 ways as a sum of consecutive naturals, for example, 6173 + ... + 6371.

21248128 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 1248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453500).

1248128 is an abundant number, since it is smaller than the sum of its proper divisors (1658872).

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

1248128 is an equidigital number, since it uses as much as digits as its factorization.

1248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 1248128 is about 1117.1964912226. The cubic root of 1248128 is about 107.6679329450.

The spelling of 1248128 in words is "one million, two hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 199 224 392 398 448 784 796 896 1393 1568 1592 2786 3136 3184 5572 6272 6368 9751 11144 12736 19502 22288 25472 39004 44576 78008 89152 156016 178304 312032 624064 1248128