Search a number
-
+
201028608 = 2103311661
BaseRepresentation
bin10111111101101…
…11010000000000
3112000021022102000
423332313100000
5402430403413
631540424000
74660500144
oct1376672000
9460238360
10201028608
11a3525850
12573a8000
1332857551
141c9ad224
15129ae073
hexbfb7400

201028608 has 176 divisors, whose sum is σ = 650454720. Its totient is φ = 60825600.

The previous prime is 201028603. The next prime is 201028631. The reversal of 201028608 is 806820102.

201028608 is a `hidden beast` number, since 20 + 10 + 28 + 608 = 666.

201028608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201028603) 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, 303798 + ... + 304458.

Almost surely, 2201028608 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 201028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325227360).

201028608 is an abundant number, since it is smaller than the sum of its proper divisors (449426112).

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

201028608 is a wasteful number, since it uses less digits than its factorization.

201028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 201028608 is about 14178.4557692296. The cubic root of 201028608 is about 585.8043898206.

The spelling of 201028608 in words is "two hundred one million, twenty-eight thousand, six hundred eight".