Base | Representation |
---|---|
bin | 1111101111101… |
… | …00000000110000 |
3 | 100012111221000000 |
4 | 13313310000300 |
5 | 232302241342 |
6 | 21034430000 |
7 | 3162406011 |
oct | 767640060 |
9 | 305457000 |
10 | 132071472 |
11 | 68607285 |
12 | 38292300 |
13 | 21492600 |
14 | 1377d008 |
15 | b8dc44c |
hex | 7df4030 |
132071472 has 210 divisors, whose sum is σ = 421640052. Its totient is φ = 40030848.
The previous prime is 132071371. The next prime is 132071473. The reversal of 132071472 is 274170231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (132071473) 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 41 ways as a sum of consecutive naturals, for example, 1971183 + ... + 1971249.
Almost surely, 2132071472 is an apocalyptic number.
132071472 is a gapful number since it is divisible by the number (12) 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 132071472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210820026).
132071472 is an abundant number, since it is smaller than the sum of its proper divisors (289568580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132071472 is an equidigital number, since it uses as much as digits as its factorization.
132071472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119 (or 85 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 27.
The square root of 132071472 is about 11492.2352917089. The cubic root of 132071472 is about 509.2562168332.
The spelling of 132071472 in words is "one hundred thirty-two million, seventy-one thousand, four hundred seventy-two".
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