Search a number
-
+
81808110 = 23351937431
BaseRepresentation
bin1001110000001…
…00101011101110
312200221021122000
410320010223232
5131420324420
612041233130
72012233416
oct470045356
9180837560
1081808110
11421a670a
12234927a6
1313c44387
14ac17646
1572ae690
hex4e04aee

81808110 has 128 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 20062080.

The previous prime is 81808109. The next prime is 81808127. The reversal of 81808110 is 1180818.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189595 + ... + 190025.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 281808110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81808110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118195200).

81808110 is an abundant number, since it is smaller than the sum of its proper divisors (154582290).

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

81808110 is a wasteful number, since it uses less digits than its factorization.

81808110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 81808110 is about 9044.7835795004. The cubic root of 81808110 is about 434.1089966705.

Adding to 81808110 its reverse (1180818), we get a palindrome (82988928).

It can be divided in two parts, 81808 and 110, that added together give a palindrome (81918).

The spelling of 81808110 in words is "eighty-one million, eight hundred eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 37 38 45 54 57 74 90 95 111 114 135 171 185 190 222 270 285 333 342 370 431 513 555 570 666 703 855 862 999 1026 1110 1293 1406 1665 1710 1998 2109 2155 2565 2586 3330 3515 3879 4218 4310 4995 5130 6327 6465 7030 7758 8189 9990 10545 11637 12654 12930 15947 16378 18981 19395 21090 23274 24567 31635 31894 37962 38790 40945 47841 49134 58185 63270 73701 79735 81890 94905 95682 116370 122835 143523 147402 159470 189810 221103 239205 245670 287046 302993 368505 430569 442206 478410 605986 717615 737010 861138 908979 1105515 1435230 1514965 1817958 2152845 2211030 2726937 3029930 4305690 4544895 5453874 8180811 9089790 13634685 16361622 27269370 40904055 81808110