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1066560 = 263511101
BaseRepresentation
bin100000100011001000000
32000012001020
410010121000
5233112220
634505440
712031335
oct4043100
92005036
101066560
11669360
12435280
132b4601
141da98c
15161040
hex104640

1066560 has 112 divisors (see below), whose sum is σ = 3730752. Its totient is φ = 256000.

The previous prime is 1066553. The next prime is 1066561. The reversal of 1066560 is 656601.

It is a super-2 number, since 2×10665602 = 2275100467200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1066560.

It is not an unprimeable number, because it can be changed into a prime (1066561) 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 15 ways as a sum of consecutive naturals, for example, 10510 + ... + 10610.

21066560 is an apocalyptic number.

1066560 is a gapful number since it is divisible by the number (10) 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 1066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865376).

1066560 is an abundant number, since it is smaller than the sum of its proper divisors (2664192).

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

1066560 is a wasteful number, since it uses less digits than its factorization.

1066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1066560 is about 1032.7439179196. The cubic root of 1066560 is about 102.1711850526.

It can be divided in two parts, 106 and 6560, that added together give a palindrome (6666).

The spelling of 1066560 in words is "one million, sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 101 110 120 132 160 165 176 192 202 220 240 264 303 320 330 352 404 440 480 505 528 606 660 704 808 880 960 1010 1056 1111 1212 1320 1515 1616 1760 2020 2112 2222 2424 2640 3030 3232 3333 3520 4040 4444 4848 5280 5555 6060 6464 6666 8080 8888 9696 10560 11110 12120 13332 16160 16665 17776 19392 22220 24240 26664 32320 33330 35552 44440 48480 53328 66660 71104 88880 96960 106656 133320 177760 213312 266640 355520 533280 1066560