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804605040 = 243254792333
BaseRepresentation
bin101111111101010…
…100110001110000
32002002000011121200
4233331110301300
53121434330130
6211501251200
725640013201
oct5775246160
92062004550
10804605040
113831a6748
121a5563b00
13ca905c75
1478c075a8
154a986760
hex2ff54c70

804605040 has 120 divisors (see below), whose sum is σ = 2708933760. Its totient is φ = 214021632.

The previous prime is 804604993. The next prime is 804605047. The reversal of 804605040 is 40506408.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 804604995 and 804605013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804605047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343714 + ... + 346046.

It is an arithmetic number, because the mean of its divisors is an integer number (22574448).

Almost surely, 2804605040 is an apocalyptic number.

804605040 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 804605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354466880).

804605040 is an abundant number, since it is smaller than the sum of its proper divisors (1904328720).

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

804605040 is a wasteful number, since it uses less digits than its factorization.

804605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 804605040 is about 28365.5608088400. The cubic root of 804605040 is about 930.0955850419.

The spelling of 804605040 in words is "eight hundred four million, six hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 479 720 958 1437 1916 2333 2395 2874 3832 4311 4666 4790 5748 6999 7185 7664 8622 9332 9580 11496 11665 13998 14370 17244 18664 19160 20997 21555 22992 23330 27996 28740 34488 34995 37328 38320 41994 43110 46660 55992 57480 68976 69990 83988 86220 93320 104985 111984 114960 139980 167976 172440 186640 209970 279960 335952 344880 419940 559920 839880 1117507 1679760 2235014 3352521 4470028 5587535 6705042 8940056 10057563 11175070 13410084 16762605 17880112 20115126 22350140 26820168 33525210 40230252 44700280 50287815 53640336 67050420 80460504 89400560 100575630 134100840 160921008 201151260 268201680 402302520 804605040