Base | Representation |
---|---|
bin | 1111110000101… |
… | …00001101000000 |
3 | 100012202121212120 |
4 | 13320110031000 |
5 | 232321001303 |
6 | 21041324240 |
7 | 3163465305 |
oct | 770241500 |
9 | 305677776 |
10 | 132203328 |
11 | 68697354 |
12 | 38336680 |
13 | 2150a62a |
14 | 137b50ac |
15 | b916553 |
hex | 7e14340 |
132203328 has 112 divisors (see below), whose sum is σ = 364784640. Its totient is φ = 42223104.
The previous prime is 132203327. The next prime is 132203341. The reversal of 132203328 is 823302231.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 132203298 and 132203307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132203321) 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 15 ways as a sum of consecutive naturals, for example, 553033 + ... + 553271.
Almost surely, 2132203328 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 132203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182392320).
132203328 is an abundant number, since it is smaller than the sum of its proper divisors (232581312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132203328 is a wasteful number, since it uses less digits than its factorization.
132203328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 364 (or 354 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 132203328 is about 11497.9706035457. The cubic root of 132203328 is about 509.4256355901.
Adding to 132203328 its reverse (823302231), we get a palindrome (955505559).
The spelling of 132203328 in words is "one hundred thirty-two million, two hundred three thousand, three hundred twenty-eight".
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