Base | Representation |
---|---|
bin | 10111111110100… |
… | …00100000000000 |
3 | 112000110120021112 |
4 | 23333100200000 |
5 | 402442211112 |
6 | 31542542452 |
7 | 4661410523 |
oct | 1377204000 |
9 | 460416245 |
10 | 201132032 |
11 | a3596522 |
12 | 57437a28 |
13 | 3289264a |
14 | 1c9d8bba |
15 | 129cea22 |
hex | bfd0800 |
201132032 has 96 divisors (see below), whose sum is σ = 437837400. Its totient is φ = 92012544.
The previous prime is 201132031. The next prime is 201132077. The reversal of 201132032 is 230231102.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 200958976 + 173056 = 14176^2 + 416^2 .
It is a junction number, because it is equal to n+sod(n) for n = 201131998 and 201132016.
It is not an unprimeable number, because it can be changed into a prime (201132031) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 1845194 + ... + 1845302.
Almost surely, 2201132032 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 201132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218918700).
201132032 is an abundant number, since it is smaller than the sum of its proper divisors (236705368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201132032 is a wasteful number, since it uses less digits than its factorization.
201132032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201 (or 181 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 201132032 is about 14182.1025239560. The cubic root of 201132032 is about 585.9048329810.
Adding to 201132032 its reverse (230231102), we get a palindrome (431363134).
It can be divided in two parts, 2011 and 32032, that added together give a palindrome (34043).
The spelling of 201132032 in words is "two hundred one million, one hundred thirty-two thousand, thirty-two".
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