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805440 = 2635839
BaseRepresentation
bin11000100101001000000
31111220212010
43010221000
5201233230
625132520
76563136
oct3045100
91456763
10805440
11500159
1232a140
132227bc
1416d756
1510d9b0
hexc4a40

805440 has 56 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 214528.

The previous prime is 805421. The next prime is 805451. The reversal of 805440 is 44508.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 805440.

It is an unprimeable number.

805440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

2805440 is an apocalyptic number.

805440 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 805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160).

805440 is an abundant number, since it is smaller than the sum of its proper divisors (1754880).

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

805440 is a wasteful number, since it uses less digits than its factorization.

805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 805440 is about 897.4630911631. The cubic root of 805440 is about 93.0417202107.

Adding to 805440 its reverse (44508), we get a palindrome (849948).

The spelling of 805440 in words is "eight hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 839 960 1678 2517 3356 4195 5034 6712 8390 10068 12585 13424 16780 20136 25170 26848 33560 40272 50340 53696 67120 80544 100680 134240 161088 201360 268480 402720 805440