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805397040 = 24335753267
BaseRepresentation
bin110000000000010…
…110001000110000
32002010111102001000
4300000112020300
53122140201130
6211530242000
725646522220
oct6000261060
92063442030
10805397040
11383697798
121a5886300
13cab225c6
1478d72080
154aa91260
hex30016230

805397040 has 160 divisors (see below), whose sum is σ = 3170511360. Its totient is φ = 184087296.

The previous prime is 805397027. The next prime is 805397053. The reversal of 805397040 is 40793508.

805397040 is a `hidden beast` number, since 80 + 539 + 7 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (805397027) and next prime (805397053).

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 = 805396986 and 805397004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11514 + ... + 41753.

It is an arithmetic number, because the mean of its divisors is an integer number (19815696).

Almost surely, 2805397040 is an apocalyptic number.

805397040 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 805397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585255680).

805397040 is an abundant number, since it is smaller than the sum of its proper divisors (2365114320).

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

805397040 is a wasteful number, since it uses less digits than its factorization.

805397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53296 (or 53284 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 805397040 is about 28379.5179663080. The cubic root of 805397040 is about 930.4006598303.

The spelling of 805397040 in words is "eight hundred five million, three hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 53267 106534 159801 213068 266335 319602 372869 426136 479403 532670 639204 745738 799005 852272 958806 1065340 1118607 1278408 1438209 1491476 1598010 1864345 1917612 2130680 2237214 2397015 2556816 2876418 2982952 3196020 3355821 3728690 3835224 4261360 4474428 4794030 5593035 5752836 5965904 6392040 6711642 7191045 7457380 7670448 8948856 9588060 10067463 11186070 11505672 12784080 13423284 14382090 14914760 16779105 17897712 19176120 20134926 22372140 23011344 26846568 28764180 29829520 33558210 38352240 40269852 44744280 50337315 53693136 57528360 67116420 80539704 89488560 100674630 115056720 134232840 161079408 201349260 268465680 402698520 805397040