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640208000 = 275340013
BaseRepresentation
bin100110001010001…
…100110010000000
31122121122221021102
4212022030302000
52302343124000
6143305513532
721602451425
oct4612146200
91577587242
10640208000
112a9420823
1215a4a28a8
13a2836003
1461051d4c
153b3113d5
hex2628cc80

640208000 has 64 divisors (see below), whose sum is σ = 1591756920. Its totient is φ = 256076800.

The previous prime is 640207979. The next prime is 640208011. The reversal of 640208000 is 802046.

It can be written as a sum of positive squares in 4 ways, for example, as 167754304 + 472453696 = 12952^2 + 21736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4007 + ... + 36006.

Almost surely, 2640208000 is an apocalyptic number.

It is an amenable number.

640208000 is an abundant number, since it is smaller than the sum of its proper divisors (951548920).

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

640208000 is an equidigital number, since it uses as much as digits as its factorization.

640208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40042 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 640208000 is about 25302.3319083439. The cubic root of 640208000 is about 861.8672247373.

The spelling of 640208000 in words is "six hundred forty million, two hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 40013 80026 160052 200065 320104 400130 640208 800260 1000325 1280416 1600520 2000650 2560832 3201040 4001300 5001625 5121664 6402080 8002600 10003250 12804160 16005200 20006500 25608320 32010400 40013000 64020800 80026000 128041600 160052000 320104000 640208000