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1126528 = 2713677
BaseRepresentation
bin100010011000010000000
32010020022021
410103002000
5242022103
640051224
712401224
oct4230200
92106267
101126528
116aa417
12463b14
133059b0
14214784
15173bbd
hex113080

1126528 has 32 divisors (see below), whose sum is σ = 2420460. Its totient is φ = 519168.

The previous prime is 1126523. The next prime is 1126537. The reversal of 1126528 is 8256211.

It can be written as a sum of positive squares in 2 ways, for example, as 1098304 + 28224 = 1048^2 + 168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1126523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1326 + ... + 2002.

21126528 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 1126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210230).

1126528 is an abundant number, since it is smaller than the sum of its proper divisors (1293932).

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

1126528 is an equidigital number, since it uses as much as digits as its factorization.

1126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 1126528 is about 1061.3802334696. The cubic root of 1126528 is about 104.0512567850.

The spelling of 1126528 in words is "one million, one hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 677 832 1354 1664 2708 5416 8801 10832 17602 21664 35204 43328 70408 86656 140816 281632 563264 1126528