Search a number
-
+
81090880 = 26513101193
BaseRepresentation
bin1001101010101…
…01100101000000
312122120211202221
410311111211000
5131224402010
612014020424
72003155363
oct465254500
9178524687
1081090880
1141856862
12231a7714
1313a52a90
14aaac0da
1571bbdda
hex4d55940

81090880 has 112 divisors (see below), whose sum is σ = 211098384. Its totient is φ = 29491200.

The previous prime is 81090871. The next prime is 81090929. The reversal of 81090880 is 8809018.

It can be written as a sum of positive squares in 8 ways, for example, as 952576 + 80138304 = 976^2 + 8952^2 .

It is a congruent number.

It is an unprimeable number.

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, 420064 + ... + 420256.

It is an arithmetic number, because the mean of its divisors is an integer number (1884807).

Almost surely, 281090880 is an apocalyptic number.

81090880 is a gapful number since it is divisible by the number (80) 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 81090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105549192).

81090880 is an abundant number, since it is smaller than the sum of its proper divisors (130007504).

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

81090880 is a wasteful number, since it uses less digits than its factorization.

81090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 81090880 is about 9005.0474735006. The cubic root of 81090880 is about 432.8366274524.

Adding to 81090880 its reverse (8809018), we get a palindrome (89899898).

The spelling of 81090880 in words is "eighty-one million, ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 101 104 130 160 193 202 208 260 320 386 404 416 505 520 772 808 832 965 1010 1040 1313 1544 1616 1930 2020 2080 2509 2626 3088 3232 3860 4040 4160 5018 5252 6176 6464 6565 7720 8080 10036 10504 12352 12545 13130 15440 16160 19493 20072 21008 25090 26260 30880 32320 38986 40144 42016 50180 52520 61760 77972 80288 84032 97465 100360 105040 155944 160576 194930 200720 210080 253409 311888 389860 401440 420160 506818 623776 779720 802880 1013636 1247552 1267045 1559440 2027272 2534090 3118880 4054544 5068180 6237760 8109088 10136360 16218176 20272720 40545440 81090880