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1067328 = 263217109
BaseRepresentation
bin100000100100101000000
32000020002200
410010211000
5233123303
634513200
712033513
oct4044500
92006080
101067328
11669999
12435800
132b4a72
141dad7a
151613a3
hex104940

1067328 has 84 divisors (see below), whose sum is σ = 3268980. Its totient is φ = 331776.

The previous prime is 1067327. The next prime is 1067329. The reversal of 1067328 is 8237601.

It is an interprime number because it is at equal distance from previous prime (1067327) and next prime (1067329).

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 278784 = 888^2 + 528^2 .

It is a super-2 number, since 2×10673282 = 2278378119168, which contains 22 as substring.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067327) 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, 9738 + ... + 9846.

21067328 is an apocalyptic number.

1067328 is a gapful number since it is divisible by the number (18) 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 1067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634490).

1067328 is an abundant number, since it is smaller than the sum of its proper divisors (2201652).

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

1067328 is a wasteful number, since it uses less digits than its factorization.

1067328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1067328 is about 1033.1156760015. The cubic root of 1067328 is about 102.1957027055.

It can be divided in two parts, 10673 and 28, that added together give a palindrome (10701).

The spelling of 1067328 in words is "one million, sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 109 136 144 153 192 204 218 272 288 306 327 408 436 544 576 612 654 816 872 981 1088 1224 1308 1632 1744 1853 1962 2448 2616 3264 3488 3706 3924 4896 5232 5559 6976 7412 7848 9792 10464 11118 14824 15696 16677 20928 22236 29648 31392 33354 44472 59296 62784 66708 88944 118592 133416 177888 266832 355776 533664 1067328