Search a number
-
+
81897620 = 22572193433
BaseRepresentation
bin1001110000110…
…10100010010100
312201002211102012
410320122202110
5131431210440
612043203352
72013055400
oct470324224
9181084365
1081897620
1142257992
1223516558
1313c7603c
14ac3c100
1572cae65
hex4e1a894

81897620 has 72 divisors (see below), whose sum is σ = 201565224. Its totient is φ = 27869184.

The previous prime is 81897617. The next prime is 81897661. The reversal of 81897620 is 2679818.

It can be written as a sum of positive squares in 4 ways, for example, as 103684 + 81793936 = 322^2 + 9044^2 .

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 23 ways as a sum of consecutive naturals, for example, 188924 + ... + 189356.

It is an arithmetic number, because the mean of its divisors is an integer number (2799517).

Almost surely, 281897620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81897620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100782612).

81897620 is an abundant number, since it is smaller than the sum of its proper divisors (119667604).

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

81897620 is a wasteful number, since it uses less digits than its factorization.

81897620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 81897620 is about 9049.7303827241. The cubic root of 81897620 is about 434.2672651401.

The spelling of 81897620 in words is "eighty-one million, eight hundred ninety-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 193 196 245 386 433 490 772 866 965 980 1351 1732 1930 2165 2702 3031 3860 4330 5404 6062 6755 8660 9457 12124 13510 15155 18914 21217 27020 30310 37828 42434 47285 60620 83569 84868 94570 106085 167138 189140 212170 334276 417845 424340 584983 835690 1169966 1671380 2339932 2924915 4094881 5849830 8189762 11699660 16379524 20474405 40948810 81897620