Search a number
-
+
201140856 = 23327593673
BaseRepresentation
bin10111111110100…
…10101001111000
3112000111000101100
423333102221320
5402443001411
631543051400
74661445330
oct1377225170
9460430340
10201140856
11a35a2114
1257440b60
1332896677
141c9dc0c0
15129d2456
hexbfd2a78

201140856 has 96 divisors (see below), whose sum is σ = 624555360. Its totient is φ = 57286656.

The previous prime is 201140837. The next prime is 201140869. The reversal of 201140856 is 658041102.

201140856 is a `hidden beast` number, since 201 + 1 + 408 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298536 + ... + 299208.

It is an arithmetic number, because the mean of its divisors is an integer number (6505785).

Almost surely, 2201140856 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 201140856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312277680).

201140856 is an abundant number, since it is smaller than the sum of its proper divisors (423414504).

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

201140856 is a wasteful number, since it uses less digits than its factorization.

201140856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 201140856 is about 14182.4136168707. The cubic root of 201140856 is about 585.9134010654.

Adding to 201140856 its reverse (658041102), we get a palindrome (859181958).

The spelling of 201140856 in words is "two hundred one million, one hundred forty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 593 673 1186 1346 1779 2019 2372 2692 3558 4038 4151 4711 4744 5337 5384 6057 7116 8076 8302 9422 10674 12114 12453 14133 14232 16152 16604 18844 21348 24228 24906 28266 33208 37359 37688 42399 42696 48456 49812 56532 74718 84798 99624 113064 149436 169596 298872 339192 399089 798178 1197267 1596356 2394534 2793623 3192712 3591801 4789068 5587246 7183602 8380869 9578136 11174492 14367204 16761738 22348984 25142607 28734408 33523476 50285214 67046952 100570428 201140856