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201327280 = 24573112329
BaseRepresentation
bin11000000000000…
…00001010110000
3112000211111002221
430000000022300
5403014433110
631551050424
74663153000
oct1400001260
9460744087
10201327280
11a370a190
1257510a14
133293048b
141ca4a000
1512a1c7da
hexc0002b0

201327280 has 320 divisors, whose sum is σ = 642816000. Its totient is φ = 57953280.

The previous prime is 201327253. The next prime is 201327317. The reversal of 201327280 is 82723102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6942306 + ... + 6942334.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2201327280 is an apocalyptic number.

201327280 is a gapful number since it is divisible by the number (20) 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 201327280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

201327280 is an abundant number, since it is smaller than the sum of its proper divisors (441488720).

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

201327280 is a wasteful number, since it uses less digits than its factorization.

201327280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 201327280 is about 14188.9844597843. The cubic root of 201327280 is about 586.0943598123.

The spelling of 201327280 in words is "two hundred one million, three hundred twenty-seven thousand, two hundred eighty".