Search a number
-
+
1080816 = 243112389
BaseRepresentation
bin100000111110111110000
32000220121020
410013313300
5234041231
635055440
712121032
oct4076760
92026536
101080816
11679040
12441580
132bac49
14201c52
15165396
hex107df0

1080816 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 309760.

The previous prime is 1080811. The next prime is 1080817. The reversal of 1080816 is 6180801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12100 + ... + 12188.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

21080816 is an apocalyptic number.

1080816 is a gapful number since it is divisible by the number (16) 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 1080816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

1080816 is an abundant number, since it is smaller than the sum of its proper divisors (2133264).

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

1080816 is a wasteful number, since it uses less digits than its factorization.

1080816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1080816 is about 1039.6230085949. The cubic root of 1080816 is about 102.6243899321.

The spelling of 1080816 in words is "one million, eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 89 92 132 138 176 178 184 253 264 267 276 356 368 506 528 534 552 712 759 979 1012 1068 1104 1424 1518 1958 2024 2047 2136 2937 3036 3916 4048 4094 4272 5874 6072 6141 7832 8188 11748 12144 12282 15664 16376 22517 23496 24564 32752 45034 46992 49128 67551 90068 98256 135102 180136 270204 360272 540408 1080816