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640650240 = 21032513903
BaseRepresentation
bin100110001011111…
…000110000000000
31122122111101220200
4212023320300000
52303001301430
6143323205200
721606302646
oct4613706000
91578441820
10640650240
112a96a300a
1215a676800
13a295c3a9
1461129196
153b39c460
hex262f8c00

640650240 has 132 divisors (see below), whose sum is σ = 2219996064. Its totient is φ = 170827776.

The previous prime is 640650239. The next prime is 640650251. The reversal of 640650240 is 42056046.

It is a happy number.

640650240 is a `hidden beast` number, since 6 + 4 + 0 + 650 + 2 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39129 + ... + 53031.

It is an arithmetic number, because the mean of its divisors is an integer number (16818152).

Almost surely, 2640650240 is an apocalyptic number.

640650240 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 640650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109998032).

640650240 is an abundant number, since it is smaller than the sum of its proper divisors (1579345824).

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

640650240 is a wasteful number, since it uses less digits than its factorization.

640650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 640650240 is about 25311.0695151351. The cubic root of 640650240 is about 862.0656313133.

The spelling of 640650240 in words is "six hundred forty million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 13903 15360 23040 27806 41709 46080 55612 69515 83418 111224 125127 139030 166836 208545 222448 250254 278060 333672 417090 444896 500508 556120 625635 667344 834180 889792 1001016 1112240 1251270 1334688 1668360 1779584 2002032 2224480 2502540 2669376 3336720 3559168 4004064 4448960 5005080 5338752 6673440 7118336 8008128 8897920 10010160 10677504 13346880 14236672 16016256 17795840 20020320 21355008 26693760 32032512 35591680 40040640 42710016 53387520 64065024 71183360 80081280 106775040 128130048 160162560 213550080 320325120 640650240