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1073232 = 243229257
BaseRepresentation
bin100000110000001010000
32000112012100
410012001100
5233320412
635000400
712056646
oct4060120
92015170
101073232
11673376
12439100
132b7664
141dd196
15162edc
hex106050

1073232 has 60 divisors (see below), whose sum is σ = 3119220. Its totient is φ = 344064.

The previous prime is 1073221. The next prime is 1073239. The reversal of 1073232 is 2323701.

1073232 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 197136 = 936^2 + 444^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073239) 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 11 ways as a sum of consecutive naturals, for example, 4048 + ... + 4304.

It is an arithmetic number, because the mean of its divisors is an integer number (51987).

21073232 is an apocalyptic number.

1073232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559610).

1073232 is an abundant number, since it is smaller than the sum of its proper divisors (2045988).

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

1073232 is a wasteful number, since it uses less digits than its factorization.

1073232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 1073232 is about 1035.9691115086. The cubic root of 1073232 is about 102.3837905658.

Adding to 1073232 its reverse (2323701), we get a palindrome (3396933).

The spelling of 1073232 in words is "one million, seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 257 261 348 464 514 522 696 771 1028 1044 1392 1542 2056 2088 2313 3084 4112 4176 4626 6168 7453 9252 12336 14906 18504 22359 29812 37008 44718 59624 67077 89436 119248 134154 178872 268308 357744 536616 1073232