Search a number
-
+
201370680 = 233257411949
BaseRepresentation
bin11000000000010…
…10110000111000
3112000220200122100
430000022300320
5403022330210
631552023400
74663423350
oct1400126070
9460820570
10201370680
11a3739855
1257531b60
1332947164
141ca5bb60
1512a2a5c0
hexc00ac38

201370680 has 192 divisors, whose sum is σ = 766584000. Its totient is φ = 44881920.

The previous prime is 201370667. The next prime is 201370703. The reversal of 201370680 is 86073102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102346 + ... + 104294.

It is an arithmetic number, because the mean of its divisors is an integer number (3992625).

Almost surely, 2201370680 is an apocalyptic number.

201370680 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 201370680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383292000).

201370680 is an abundant number, since it is smaller than the sum of its proper divisors (565213320).

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

201370680 is a wasteful number, since it uses less digits than its factorization.

201370680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 201370680 is about 14190.5137327723. The cubic root of 201370680 is about 586.1364714554.

It can be divided in two parts, 201 and 370680, that added together give a square (370881 = 6092).

The spelling of 201370680 in words is "two hundred one million, three hundred seventy thousand, six hundred eighty".