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805840 = 24571439
BaseRepresentation
bin11000100101111010000
31111221101221
43010233100
5201241330
625134424
76564250
oct3045720
91457357
10805840
11500492
1232a414
13222a39
1416d960
1510db7a
hexc4bd0

805840 has 40 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 276096.

The previous prime is 805811. The next prime is 805843. The reversal of 805840 is 48508.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805843) by changing a digit.

805840 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, 160 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (53568).

2805840 is an apocalyptic number.

805840 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 805840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

805840 is an abundant number, since it is smaller than the sum of its proper divisors (1336880).

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

805840 is a wasteful number, since it uses less digits than its factorization.

805840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 805840 is about 897.6859138919. The cubic root of 805840 is about 93.0571198800.

Subtracting from 805840 its sum of digits (25), we obtain a triangular number (805815 = T1269).

The spelling of 805840 in words is "eight hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1439 2878 5756 7195 10073 11512 14390 20146 23024 28780 40292 50365 57560 80584 100730 115120 161168 201460 402920 805840