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640067000 = 235317231637
BaseRepresentation
bin100110001001101…
…010010110111000
31122121101202212012
4212021222112320
52302324121000
6143302505052
721601323356
oct4611522670
91577352765
10640067000
112a93348a1
1215a435188
13a27b6a91
14610167d6
153b2d4735
hex2626a5b8

640067000 has 128 divisors (see below), whose sum is σ = 1655821440. Its totient is φ = 230348800.

The previous prime is 640066979. The next prime is 640067039. The reversal of 640067000 is 760046.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 390182 + ... + 391818.

It is an arithmetic number, because the mean of its divisors is an integer number (12936105).

Almost surely, 2640067000 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 640067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827910720).

640067000 is an abundant number, since it is smaller than the sum of its proper divisors (1015754440).

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

640067000 is a wasteful number, since it uses less digits than its factorization.

640067000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 640067000 is about 25299.5454504621. The cubic root of 640067000 is about 861.8039472810.

The spelling of 640067000 in words is "six hundred forty million, sixty-seven thousand".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 68 85 92 100 115 125 136 170 184 200 230 250 340 391 425 460 500 575 680 782 850 920 1000 1150 1564 1637 1700 1955 2125 2300 2875 3128 3274 3400 3910 4250 4600 5750 6548 7820 8185 8500 9775 11500 13096 15640 16370 17000 19550 23000 27829 32740 37651 39100 40925 48875 55658 65480 75302 78200 81850 97750 111316 139145 150604 163700 188255 195500 204625 222632 278290 301208 327400 376510 391000 409250 556580 640067 695725 753020 818500 941275 1113160 1280134 1391450 1506040 1637000 1882550 2560268 2782900 3200335 3478625 3765100 4706375 5120536 5565800 6400670 6957250 7530200 9412750 12801340 13914500 16001675 18825500 25602680 27829000 32003350 37651000 64006700 80008375 128013400 160016750 320033500 640067000