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640831200 = 253521371949
BaseRepresentation
bin100110001100100…
…100111011100000
31122122211121010220
4212030210323200
52303023044300
6143331123040
721610655352
oct4614447340
91578747126
10640831200
112a9806a69
1215a743480
13a29c3879
14611750d2
153b3d5da0
hex26324ee0

640831200 has 144 divisors (see below), whose sum is σ = 2102209200. Its totient is φ = 169553920.

The previous prime is 640831159. The next prime is 640831223. The reversal of 640831200 is 2138046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327826 + ... + 329774.

It is an arithmetic number, because the mean of its divisors is an integer number (14598675).

Almost surely, 2640831200 is an apocalyptic number.

640831200 is a gapful number since it is divisible by the number (60) 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 640831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051104600).

640831200 is an abundant number, since it is smaller than the sum of its proper divisors (1461378000).

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

640831200 is a wasteful number, since it uses less digits than its factorization.

640831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 640831200 is about 25314.6439832758. The cubic root of 640831200 is about 862.1467908921.

Adding to 640831200 its reverse (2138046), we get a palindrome (642969246).

The spelling of 640831200 in words is "six hundred forty million, eight hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 137 150 160 200 240 274 300 400 411 480 548 600 685 800 822 1096 1200 1370 1644 1949 2055 2192 2400 2740 3288 3425 3898 4110 4384 5480 5847 6576 6850 7796 8220 9745 10275 10960 11694 13152 13700 15592 16440 19490 20550 21920 23388 27400 29235 31184 32880 38980 41100 46776 48725 54800 58470 62368 65760 77960 82200 93552 97450 109600 116940 146175 155920 164400 187104 194900 233880 267013 292350 311840 328800 389800 467760 534026 584700 779600 801039 935520 1068052 1169400 1335065 1559200 1602078 2136104 2338800 2670130 3204156 4005195 4272208 4677600 5340260 6408312 6675325 8010390 8544416 10680520 12816624 13350650 16020780 20025975 21361040 25633248 26701300 32041560 40051950 42722080 53402600 64083120 80103900 106805200 128166240 160207800 213610400 320415600 640831200