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640262016 = 2733229809
BaseRepresentation
bin100110001010011…
…001111110000000
31122121202200101000
4212022121332000
52302401341031
6143311012000
721603065052
oct4612317600
91577680330
10640262016
112a9458369
1215a50a000
13a2854784
14610678d2
153b3223e6
hex26299f80

640262016 has 128 divisors (see below), whose sum is σ = 1900260000. Its totient is φ = 212226048.

The previous prime is 640261997. The next prime is 640262033. The reversal of 640262016 is 610262046.

It is a happy number.

640262016 is a `hidden beast` number, since 640 + 2 + 6 + 2 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 791020 + ... + 791828.

Almost surely, 2640262016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950130000).

640262016 is an abundant number, since it is smaller than the sum of its proper divisors (1259997984).

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

640262016 is a wasteful number, since it uses less digits than its factorization.

640262016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 640262016 is about 25303.3992973276. The cubic root of 640262016 is about 861.8914633757.

The spelling of 640262016 in words is "six hundred forty million, two hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 229 288 384 432 458 576 687 809 864 916 1152 1374 1618 1728 1832 2061 2427 2748 3236 3456 3664 4122 4854 5496 6183 6472 7281 7328 8244 9708 10992 12366 12944 14562 14656 16488 19416 21843 21984 24732 25888 29124 29312 32976 38832 43686 43968 49464 51776 58248 65952 77664 87372 87936 98928 103552 116496 131904 155328 174744 185261 197856 232992 263808 310656 349488 370522 395712 465984 555783 698976 741044 791424 931968 1111566 1397952 1482088 1667349 2223132 2795904 2964176 3334698 4446264 5002047 5928352 6669396 8892528 10004094 11856704 13338792 17785056 20008188 23713408 26677584 35570112 40016376 53355168 71140224 80032752 106710336 160065504 213420672 320131008 640262016