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201504064 = 2629151719
BaseRepresentation
bin11000000001010…
…11010101000000
3112001011110121111
430000223111000
5403041112224
631554533104
74664520256
oct1400532500
9461143544
10201504064
11a381aa93
1257597194
1332992a98
141ca945d6
1512a54d94
hexc02b540

201504064 has 56 divisors (see below), whose sum is σ = 416966400. Its totient is φ = 96499200.

The previous prime is 201504029. The next prime is 201504071. The reversal of 201504064 is 460405102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279897 + ... + 280615.

Almost surely, 2201504064 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 201504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208483200).

201504064 is an abundant number, since it is smaller than the sum of its proper divisors (215462336).

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

201504064 is a wasteful number, since it uses less digits than its factorization.

201504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 201504064 is about 14195.2127141512. The cubic root of 201504064 is about 586.2658580035.

Adding to 201504064 its reverse (460405102), we get a palindrome (661909166).

The spelling of 201504064 in words is "two hundred one million, five hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 151 232 302 464 604 719 928 1208 1438 1856 2416 2876 4379 4832 5752 8758 9664 11504 17516 20851 23008 35032 41702 46016 70064 83404 108569 140128 166808 217138 280256 333616 434276 667232 868552 1334464 1737104 3148501 3474208 6297002 6948416 12594004 25188008 50376016 100752032 201504064