Search a number
-
+
81485760 = 2635174993
BaseRepresentation
bin1001101101101…
…01111111000000
312200022220110010
410312311333000
5131330021020
612030304520
72006421546
oct466657700
9180286403
1081485760
1141aa6504
1223358140
1313b60735
14ab71d96
157248de0
hex4db5fc0

81485760 has 112 divisors (see below), whose sum is σ = 273990816. Its totient is φ = 20447232.

The previous prime is 81485759. The next prime is 81485771. The reversal of 81485760 is 6758418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13824 + ... + 18816.

Almost surely, 281485760 is an apocalyptic number.

81485760 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 81485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136995408).

81485760 is an abundant number, since it is smaller than the sum of its proper divisors (192505056).

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

81485760 is a wasteful number, since it uses less digits than its factorization.

81485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 81485760 is about 9026.9463275241. The cubic root of 81485760 is about 433.5380702482.

The spelling of 81485760 in words is "eighty-one million, four hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 4993 5440 8160 9986 14979 16320 19972 24965 29958 39944 49930 59916 74895 79888 84881 99860 119832 149790 159776 169762 199720 239664 254643 299580 319552 339524 399440 424405 479328 509286 599160 679048 798880 848810 958656 1018572 1198320 1273215 1358096 1597760 1697620 2037144 2396640 2546430 2716192 3395240 4074288 4793280 5092860 5432384 6790480 8148576 10185720 13580960 16297152 20371440 27161920 40742880 81485760