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640352000 = 285320011
BaseRepresentation
bin100110001010101…
…111111100000000
31122121221020210202
4212022233330000
52302412231000
6143312544332
721603621311
oct4612577400
91577836722
10640352000
112a9509a32
1215a5520a8
13a2886712
146108c608
153b33ddd5
hex262aff00

640352000 has 72 divisors (see below), whose sum is σ = 1595276592. Its totient is φ = 256128000.

The previous prime is 640351997. The next prime is 640352021. The reversal of 640352000 is 253046.

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

It is a congruent number.

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, 21995 + ... + 42005.

Almost surely, 2640352000 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 640352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797638296).

640352000 is an abundant number, since it is smaller than the sum of its proper divisors (954924592).

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

640352000 is an equidigital number, since it uses as much as digits as its factorization.

640352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20042 (or 20018 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 640352000 is about 25305.1773358734. The cubic root of 640352000 is about 861.9318389337.

The spelling of 640352000 in words is "six hundred forty million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 20011 32000 40022 80044 100055 160088 200110 320176 400220 500275 640352 800440 1000550 1280704 1600880 2001100 2501375 2561408 3201760 4002200 5002750 5122816 6403520 8004400 10005500 12807040 16008800 20011000 25614080 32017600 40022000 64035200 80044000 128070400 160088000 320176000 640352000