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641685280 = 255231271373
BaseRepresentation
bin100110001111110…
…101011100100000
31122201102222201111
4212033311130200
52303232412110
6143401313104
721621143365
oct4617653440
91581388644
10641685280
112aa23a715
1215aa95794
13a2c32542
146131846c
153b503e8a
hex263f5720

641685280 has 96 divisors (see below), whose sum is σ = 1595510784. Its totient is φ = 243403776.

The previous prime is 641685277. The next prime is 641685287. The reversal of 641685280 is 82586146.

641685280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (641685287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466674 + ... + 468046.

It is an arithmetic number, because the mean of its divisors is an integer number (16619904).

Almost surely, 2641685280 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 641685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797755392).

641685280 is an abundant number, since it is smaller than the sum of its proper divisors (953825504).

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

641685280 is a wasteful number, since it uses less digits than its factorization.

641685280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 641685280 is about 25331.5076535132. The cubic root of 641685280 is about 862.5296350526.

The spelling of 641685280 in words is "six hundred forty-one million, six hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 127 160 184 230 254 368 460 508 635 736 920 1016 1270 1373 1840 2032 2540 2746 2921 3680 4064 5080 5492 5842 6865 10160 10984 11684 13730 14605 20320 21968 23368 27460 29210 31579 43936 46736 54920 58420 63158 93472 109840 116840 126316 157895 174371 219680 233680 252632 315790 348742 467360 505264 631580 697484 871855 1010528 1263160 1394968 1743710 2526320 2789936 3487420 4010533 5052640 5579872 6974840 8021066 13949680 16042132 20052665 27899360 32084264 40105330 64168528 80210660 128337056 160421320 320842640 641685280