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641602080 = 2533573433
BaseRepresentation
bin100110001111100…
…001001000100000
31122201021202121000
4212033201020200
52303222231310
6143355432000
721620346000
oct4617411040
91581252530
10641602080
112aa193159
1215aa55600
13a2c03702
14612d6000
153b4d94c0
hex263e1220

641602080 has 384 divisors, whose sum is σ = 2624832000. Its totient is φ = 146313216.

The previous prime is 641602057. The next prime is 641602109. The reversal of 641602080 is 80206146.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1481544 + ... + 1481976.

It is an arithmetic number, because the mean of its divisors is an integer number (6835500).

Almost surely, 2641602080 is an apocalyptic number.

641602080 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 641602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416000).

641602080 is an abundant number, since it is smaller than the sum of its proper divisors (1983229920).

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

641602080 is a wasteful number, since it uses less digits than its factorization.

641602080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 641602080 is about 25329.8653766655. The cubic root of 641602080 is about 862.4923553198.

The spelling of 641602080 in words is "six hundred forty-one million, six hundred two thousand, eighty".