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805847040 = 2143251093
BaseRepresentation
bin110000000010000…
…100000000000000
32002011100021022200
4300002010000000
53122244101130
6211544033200
725653405165
oct6002040000
92064307280
10805847040
11383974899
121a5a62800
13cac4c38b
147904c06c
154ab2e760
hex30084000

805847040 has 180 divisors, whose sum is σ = 2796073644. Its totient is φ = 214695936.

The previous prime is 805847011. The next prime is 805847051. The reversal of 805847040 is 40748508.

805847040 is a `hidden beast` number, since 8 + 0 + 584 + 70 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 603979776 + 201867264 = 24576^2 + 14208^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 805846986 and 805847004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736734 + ... + 737826.

Almost surely, 2805847040 is an apocalyptic number.

805847040 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 805847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398036822).

805847040 is an abundant number, since it is smaller than the sum of its proper divisors (1990226604).

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

805847040 is a wasteful number, since it uses less digits than its factorization.

805847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 805847040 is about 28387.4451122323. The cubic root of 805847040 is about 930.5739086852.

The spelling of 805847040 in words is "eight hundred five million, eight hundred forty-seven thousand, forty".