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805360000 = 275410067
BaseRepresentation
bin110000000000001…
…101000110000000
32002010102112020011
4300000031012000
53122133010000
6211525354304
725646306224
oct6000150600
92063375204
10805360000
11383671985
121a5868994
13cab0b7a3
1478d62784
154aa852ba
hex3000d180

805360000 has 80 divisors (see below), whose sum is σ = 2005092540. Its totient is φ = 322112000.

The previous prime is 805359991. The next prime is 805360001. The reversal of 805360000 is 63508.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805360001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74967 + ... + 85033.

Almost surely, 2805360000 is an apocalyptic number.

805360000 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 805360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002546270).

805360000 is an abundant number, since it is smaller than the sum of its proper divisors (1199732540).

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

805360000 is an equidigital number, since it uses as much as digits as its factorization.

805360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 805360000 is about 28378.8653754867. The cubic root of 805360000 is about 930.3863966504.

The spelling of 805360000 in words is "eight hundred five million, three hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 10067 16000 20000 20134 40000 40268 50335 80000 80536 100670 161072 201340 251675 322144 402680 503350 644288 805360 1006700 1258375 1288576 1610720 2013400 2516750 3221440 4026800 5033500 6291875 6442880 8053600 10067000 12583750 16107200 20134000 25167500 32214400 40268000 50335000 80536000 100670000 161072000 201340000 402680000 805360000