| Base | Representation |
|---|---|
| bin | 1111110000100… |
| … | …11011110000000 |
| 3 | 100012202110202011 |
| 4 | 13320103132000 |
| 5 | 232320402240 |
| 6 | 21041302304 |
| 7 | 3163453450 |
| oct | 770233600 |
| 9 | 305673664 |
| 10 | 132200320 |
| 11 | 6869506a |
| 12 | 38334994 |
| 13 | 21509155 |
| 14 | 137b3d60 |
| 15 | b9156ea |
| hex | 7e13780 |
132200320 has 128 divisors (see below), whose sum is σ = 377187840. Its totient is φ = 43321344.
The previous prime is 132200317. The next prime is 132200329. The reversal of 132200320 is 23002231.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 132200320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132200329) 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 15 ways as a sum of consecutive naturals, for example, 102399 + ... + 103681.
It is an arithmetic number, because the mean of its divisors is an integer number (2946780).
Almost surely, 2132200320 is an apocalyptic number.
132200320 is a gapful number since it is divisible by the number (10) 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 132200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188593920).
132200320 is an abundant number, since it is smaller than the sum of its proper divisors (244987520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132200320 is a wasteful number, since it uses less digits than its factorization.
132200320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 132200320 is about 11497.8397971097. The cubic root of 132200320 is about 509.4217719356.
Adding to 132200320 its reverse (23002231), we get a palindrome (155202551).
The spelling of 132200320 in words is "one hundred thirty-two million, two hundred thousand, three hundred twenty".
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