Search a number
-
+
201134080 = 212572361
BaseRepresentation
bin10111111110100…
…01000000000000
3112000110200002101
423333101000000
5402442242310
631543000144
74661416510
oct1377210000
9460420071
10201134080
11a3598014
1257439054
1332893564
141c9d9840
15129d043a
hexbfd1000

201134080 has 208 divisors, whose sum is σ = 585033984. Its totient is φ = 64880640.

The previous prime is 201134077. The next prime is 201134093. The reversal of 201134080 is 80431102.

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, 3297250 + ... + 3297310.

Almost surely, 2201134080 is an apocalyptic number.

201134080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292516992).

201134080 is an abundant number, since it is smaller than the sum of its proper divisors (383899904).

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

201134080 is an equidigital number, since it uses as much as digits as its factorization.

201134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 201134080 is about 14182.1747274528. The cubic root of 201134080 is about 585.9068216068.

Adding to 201134080 its reverse (80431102), we get a palindrome (281565182).

The spelling of 201134080 in words is "two hundred one million, one hundred thirty-four thousand, eighty".