Search a number
-
+
201370240 = 275314641
BaseRepresentation
bin11000000000010…
…10101010000000
3112000220200001001
430000022222000
5403022321430
631552021344
74663422151
oct1400125200
9460820031
10201370240
11a3739495
1257531854
1332946bb6
141ca5b928
1512a2a3ca
hexc00aa80

201370240 has 32 divisors (see below), whose sum is σ = 481402260. Its totient is φ = 80547840.

The previous prime is 201370207. The next prime is 201370249. The reversal of 201370240 is 42073102.

It can be written as a sum of positive squares in 2 ways, for example, as 185177664 + 16192576 = 13608^2 + 4024^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (201370249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156681 + ... + 157960.

Almost surely, 2201370240 is an apocalyptic number.

201370240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201370240 is an abundant number, since it is smaller than the sum of its proper divisors (280032020).

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

201370240 is an equidigital number, since it uses as much as digits as its factorization.

201370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314660 (or 314648 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 201370240 is about 14190.4982294492. The cubic root of 201370240 is about 586.1360445474.

The spelling of 201370240 in words is "two hundred one million, three hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 314641 629282 1258564 1573205 2517128 3146410 5034256 6292820 10068512 12585640 20137024 25171280 40274048 50342560 100685120 201370240