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641970560 = 27572111861
BaseRepresentation
bin100110010000111…
…011000110000000
31122201222111001102
4212100323012000
52303321024220
6143411353532
721623442200
oct4620730600
91581874042
10641970560
112aa414a90
1215abb28a8
13a300234a
1461390400
153b55d775
hex2643b180

641970560 has 192 divisors, whose sum is σ = 1948620240. Its totient is φ = 199987200.

The previous prime is 641970547. The next prime is 641970583. The reversal of 641970560 is 65079146.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 344030 + ... + 345890.

Almost surely, 2641970560 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 641970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974310120).

641970560 is an abundant number, since it is smaller than the sum of its proper divisors (1306649680).

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

641970560 is a wasteful number, since it uses less digits than its factorization.

641970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 641970560 is about 25337.1379599196. The cubic root of 641970560 is about 862.6574370589.

The spelling of 641970560 in words is "six hundred forty-one million, nine hundred seventy thousand, five hundred sixty".