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1128352 = 2537953
BaseRepresentation
bin100010011011110100000
32010022210211
410103132200
5242101402
640103504
712406441
oct4233640
92108724
101128352
11700825
12464b94
13306784
142152c8
151744d7
hex1137a0

1128352 has 24 divisors (see below), whose sum is σ = 2283876. Its totient is φ = 548352.

The previous prime is 1128349. The next prime is 1128371. The reversal of 1128352 is 2538211.

It can be written as a sum of positive squares in 2 ways, for example, as 1089936 + 38416 = 1044^2 + 196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 708 + ... + 1660.

21128352 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 1128352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141938).

1128352 is an abundant number, since it is smaller than the sum of its proper divisors (1155524).

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

1128352 is an equidigital number, since it uses as much as digits as its factorization.

1128352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 1128352 is about 1062.2391444491. The cubic root of 1128352 is about 104.1073841524.

It can be divided in two parts, 112 and 8352, that added together give a square (8464 = 922).

The spelling of 1128352 in words is "one million, one hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 953 1184 1906 3812 7624 15248 30496 35261 70522 141044 282088 564176 1128352