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1073296 = 2472372
BaseRepresentation
bin100000110000010010000
32000112021201
410012002100
5233321141
635000544
712060100
oct4060220
92015251
101073296
11673424
12439154
132b76b3
141dd200
15163031
hex106090

1073296 has 45 divisors (see below), whose sum is σ = 2486169. Its totient is φ = 447552.

The previous prime is 1073279. The next prime is 1073297. The reversal of 1073296 is 6923701.

The square root of 1073296 is 1036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 960400 + 112896 = 980^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1073297) 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 8 ways as a sum of consecutive naturals, for example, 28990 + ... + 29026.

21073296 is an apocalyptic number.

1073296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1073296 is the 1036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073296

1073296 is an abundant number, since it is smaller than the sum of its proper divisors (1412873).

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

1073296 is an equidigital number, since it uses as much as digits as its factorization.

1073296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The cubic root of 1073296 is about 102.3858256748.

Adding to 1073296 its reverse (6923701), we get a palindrome (7996997).

It can be divided in two parts, 1073 and 296, that added together give a square (1369 = 372).

The spelling of 1073296 in words is "one million, seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1369 1813 2072 2738 3626 4144 5476 7252 9583 10952 14504 19166 21904 29008 38332 67081 76664 134162 153328 268324 536648 1073296