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640981200 = 2435229113163
BaseRepresentation
bin100110001101001…
…001100011010000
31122200010012220110
4212031021203100
52303042344300
6143334241320
721612151566
oct4615114320
91580105813
10640981200
112a98a9732
1215a7b6240
13a2a46c22
14611b3a36
153b415550
hex263498d0

640981200 has 240 divisors, whose sum is σ = 2156022720. Its totient is φ = 162570240.

The previous prime is 640981183. The next prime is 640981219. The reversal of 640981200 is 2189046.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3932319 + ... + 3932481.

It is an arithmetic number, because the mean of its divisors is an integer number (8983428).

Almost surely, 2640981200 is an apocalyptic number.

640981200 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 640981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078011360).

640981200 is an abundant number, since it is smaller than the sum of its proper divisors (1515041520).

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

640981200 is a wasteful number, since it uses less digits than its factorization.

640981200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 640981200 is about 25317.6065219444. The cubic root of 640981200 is about 862.2140534982.

The spelling of 640981200 in words is "six hundred forty million, nine hundred eighty-one thousand, two hundred".