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201435104 = 25132337569
BaseRepresentation
bin11000000000110…
…10011111100000
3112001000222000102
430000122133200
5403031410404
631553241532
74664112233
oct1400323740
9461028012
10201435104
11a37831a2
12575632a8
133296a590
141ca7741a
1512a3e71e
hexc01a7e0

201435104 has 96 divisors (see below), whose sum is σ = 458498880. Its totient is φ = 86372352.

The previous prime is 201435083. The next prime is 201435121. The reversal of 201435104 is 401534102.

It is a super-2 number, since 2×2014351042 = 81152202246981632, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 353732 + ... + 354300.

It is an arithmetic number, because the mean of its divisors is an integer number (4776030).

Almost surely, 2201435104 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 201435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229249440).

201435104 is an abundant number, since it is smaller than the sum of its proper divisors (257063776).

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

201435104 is a wasteful number, since it uses less digits than its factorization.

201435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 201435104 is about 14192.7835183941. The cubic root of 201435104 is about 586.1989718316.

Adding to 201435104 its reverse (401534102), we get a palindrome (602969206).

The spelling of 201435104 in words is "two hundred one million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 32 37 46 52 74 92 104 148 184 208 296 299 368 416 481 569 592 598 736 851 962 1138 1184 1196 1702 1924 2276 2392 3404 3848 4552 4784 6808 7397 7696 9104 9568 11063 13087 13616 14794 15392 18208 21053 22126 26174 27232 29588 42106 44252 52348 59176 84212 88504 104696 118352 168424 170131 177008 209392 236704 273689 336848 340262 354016 418784 484219 547378 673696 680524 968438 1094756 1361048 1936876 2189512 2722096 3873752 4379024 5444192 6294847 7747504 8758048 12589694 15495008 25179388 50358776 100717552 201435104