Base | Representation |
---|---|
bin | 1111101111001… |
… | …11011111110000 |
3 | 100012102022200100 |
4 | 13313213133300 |
5 | 232244121313 |
6 | 21033352400 |
7 | 3162103365 |
oct | 767473760 |
9 | 305368610 |
10 | 132020208 |
11 | 68581811 |
12 | 38268700 |
13 | 21475188 |
14 | 1376846c |
15 | b8cc173 |
hex | 7de77f0 |
132020208 has 120 divisors (see below), whose sum is σ = 394843280. Its totient is φ = 41057280.
The previous prime is 132020179. The next prime is 132020219. The reversal of 132020208 is 802020231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199398 + ... + 200058.
Almost surely, 2132020208 is an apocalyptic number.
132020208 is a gapful number since it is divisible by the number (18) 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 132020208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197421640).
132020208 is an abundant number, since it is smaller than the sum of its proper divisors (262823072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132020208 is a wasteful number, since it uses less digits than its factorization.
132020208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 767 (or 758 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 132020208 is about 11490.0046997379. The cubic root of 132020208 is about 509.1903184506.
Adding to 132020208 its reverse (802020231), we get a palindrome (934040439).
It can be divided in two parts, 1320 and 20208, that added together give a triangular number (21528 = T207).
The spelling of 132020208 in words is "one hundred thirty-two million, twenty thousand, two hundred eight".
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