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201032320 = 275314113
BaseRepresentation
bin10111111101110…
…00001010000000
3112000021111111111
423332320022000
5402431013240
631540453104
74660514026
oct1376701200
9460244444
10201032320
11a3528615
12573aa194
1332859148
141c9b0716
15129b01ea
hexbfb8280

201032320 has 32 divisors (see below), whose sum is σ = 480594420. Its totient is φ = 80412672.

The previous prime is 201032317. The next prime is 201032323. The reversal of 201032320 is 23230102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201032317) and next prime (201032323).

It can be written as a sum of positive squares in 2 ways, for example, as 196672576 + 4359744 = 14024^2 + 2088^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 201032320.

It is not an unprimeable number, because it can be changed into a prime (201032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156417 + ... + 157696.

Almost surely, 2201032320 is an apocalyptic number.

201032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201032320 is an abundant number, since it is smaller than the sum of its proper divisors (279562100).

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

201032320 is an equidigital number, since it uses as much as digits as its factorization.

201032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314132 (or 314120 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 201032320 is about 14178.5866714564. The cubic root of 201032320 is about 585.8079954310.

Adding to 201032320 its reverse (23230102), we get a palindrome (224262422).

The spelling of 201032320 in words is "two hundred one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 314113 628226 1256452 1570565 2512904 3141130 5025808 6282260 10051616 12564520 20103232 25129040 40206464 50258080 100516160 201032320