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201287064 = 233111940129
BaseRepresentation
bin10111111111101…
…10010110011000
3112000202102221110
423333312112120
5403012141224
631550140320
74662624516
oct1377662630
9460672843
10201287064
11a3691a50
12574b16a0
1332918094
141ca394b6
1512a10929
hexbff6598

201287064 has 64 divisors (see below), whose sum is σ = 577872000. Its totient is φ = 57784320.

The previous prime is 201287063. The next prime is 201287071. The reversal of 201287064 is 460782102.

201287064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201287063) 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, 15049 + ... + 25080.

It is an arithmetic number, because the mean of its divisors is an integer number (9029250).

Almost surely, 2201287064 is an apocalyptic number.

201287064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201287064 is an abundant number, since it is smaller than the sum of its proper divisors (376584936).

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

201287064 is a wasteful number, since it uses less digits than its factorization.

201287064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40168 (or 40164 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 201287064 is about 14187.5672333209. The cubic root of 201287064 is about 586.0553322475.

The spelling of 201287064 in words is "two hundred one million, two hundred eighty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 40129 80258 120387 160516 240774 321032 441419 481548 762451 882838 963096 1324257 1524902 1765676 2287353 2648514 3049804 3531352 4574706 5297028 6099608 8386961 9149412 10594056 16773922 18298824 25160883 33547844 50321766 67095688 100643532 201287064