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1804320 = 253257179
BaseRepresentation
bin110111000100000100000
310101200001200
412320200200
5430214240
6102401200
721223260
oct6704040
93350050
101804320
111022681
12730200
134b235b
1434d7a0
15259930
hex1b8820

1804320 has 144 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 410112.

The previous prime is 1804307. The next prime is 1804321. The reversal of 1804320 is 234081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1804293 and 1804302.

It is not an unprimeable number, because it can be changed into a prime (1804321) 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 23 ways as a sum of consecutive naturals, for example, 9991 + ... + 10169.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

21804320 is an apocalyptic number.

1804320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1804320 is the 672-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

1804320 is an abundant number, since it is smaller than the sum of its proper divisors (5271840).

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

1804320 is a wasteful number, since it uses less digits than its factorization.

1804320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1804320 is about 1343.2497906197. The cubic root of 1804320 is about 121.7412773948.

The spelling of 1804320 in words is "one million, eight hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 179 180 210 224 240 252 280 288 315 336 358 360 420 480 504 537 560 630 672 716 720 840 895 1008 1074 1120 1253 1260 1432 1440 1611 1680 1790 2016 2148 2506 2520 2685 2864 3222 3360 3580 3759 4296 5012 5040 5370 5728 6265 6444 7160 7518 8055 8592 10024 10080 10740 11277 12530 12888 14320 15036 16110 17184 18795 20048 21480 22554 25060 25776 28640 30072 32220 37590 40096 42960 45108 50120 51552 56385 60144 64440 75180 85920 90216 100240 112770 120288 128880 150360 180432 200480 225540 257760 300720 360864 451080 601440 902160 1804320