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640200240 = 24335417229
BaseRepresentation
bin100110001010001…
…010111000110000
31122121122112122000
4212022022320300
52302342401430
6143305414000
721602420001
oct4612127060
91577575560
10640200240
112a9415a09
1215a49a300
13a2832614
146104d1a8
153b30de60
hex2628ae30

640200240 has 160 divisors (see below), whose sum is σ = 2259230400. Its totient is φ = 166533120.

The previous prime is 640200221. The next prime is 640200271. The reversal of 640200240 is 42002046.

640200240 is a `hidden beast` number, since 640 + 2 + 0 + 0 + 24 + 0 = 666.

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

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, 84946 + ... + 92174.

It is an arithmetic number, because the mean of its divisors is an integer number (14120190).

Almost surely, 2640200240 is an apocalyptic number.

640200240 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 640200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129615200).

640200240 is an abundant number, since it is smaller than the sum of its proper divisors (1619030160).

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

640200240 is a wasteful number, since it uses less digits than its factorization.

640200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 640200240 is about 25302.1785623294. The cubic root of 640200240 is about 861.8637424749.

Adding to 640200240 its reverse (42002046), we get a palindrome (682202286).

The spelling of 640200240 in words is "six hundred forty million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7229 7380 8856 9840 11070 14458 14760 17712 21687 22140 28916 29520 36145 43374 44280 57832 65061 72290 86748 88560 108435 115664 130122 144580 173496 195183 216870 260244 289160 296389 325305 346992 390366 433740 520488 578320 592778 650610 780732 867480 889167 975915 1040976 1185556 1301220 1481945 1561464 1734960 1778334 1951830 2371112 2602440 2667501 2963890 3122928 3556668 3903660 4445835 4742224 5204880 5335002 5927780 7113336 7807320 8002503 8891670 10670004 11855560 13337505 14226672 15614640 16005006 17783340 21340008 23711120 26675010 32010012 35566680 40012515 42680016 53350020 64020024 71133360 80025030 106700040 128040048 160050060 213400080 320100120 640200240