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640705320 = 2332537103467
BaseRepresentation
bin100110001100000…
…110001100101000
31122122121012110200
4212030012030220
52303010032240
6143324312200
721606622353
oct4614061450
91578535420
10640705320
112a9730432
1215a6a2660
13a297b498
146114129a
153b3ad930
hex26306328

640705320 has 192 divisors, whose sum is σ = 2163957120. Its totient is φ = 164270592.

The previous prime is 640705291. The next prime is 640705343. The reversal of 640705320 is 23507046.

It is a happy number.

640705320 is a `hidden beast` number, since 64 + 0 + 70 + 532 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371727 + ... + 1372193.

It is an arithmetic number, because the mean of its divisors is an integer number (11270610).

Almost surely, 2640705320 is an apocalyptic number.

640705320 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 640705320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081978560).

640705320 is an abundant number, since it is smaller than the sum of its proper divisors (1523251800).

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

640705320 is a wasteful number, since it uses less digits than its factorization.

640705320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 640705320 is about 25312.1575532391. The cubic root of 640705320 is about 862.0903360124.

The spelling of 640705320 in words is "six hundred forty million, seven hundred five thousand, three hundred twenty".