Base | Representation |
---|---|
bin | 1111110001001… |
… | …10000001100000 |
3 | 100012220022222222 |
4 | 13320212001200 |
5 | 232330320240 |
6 | 21043050212 |
7 | 3164221151 |
oct | 770460140 |
9 | 305808888 |
10 | 132276320 |
11 | 68737180 |
12 | 38370968 |
13 | 21534917 |
14 | 137d3928 |
15 | b92ceb5 |
hex | 7e26060 |
132276320 has 96 divisors (see below), whose sum is σ = 361047456. Its totient is φ = 45260800.
The previous prime is 132276317. The next prime is 132276343. The reversal of 132276320 is 23672231.
It is a self number, because there is not a number n which added to its sum of digits gives 132276320.
It is a congruent number.
It is an unprimeable number.
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, 27710 + ... + 32130.
It is an arithmetic number, because the mean of its divisors is an integer number (3760911).
Almost surely, 2132276320 is an apocalyptic number.
132276320 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 132276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180523728).
132276320 is an abundant number, since it is smaller than the sum of its proper divisors (228771136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132276320 is a wasteful number, since it uses less digits than its factorization.
132276320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4464 (or 4456 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 26.
The square root of 132276320 is about 11501.1442908956. The cubic root of 132276320 is about 509.5193729045.
The spelling of 132276320 in words is "one hundred thirty-two million, two hundred seventy-six thousand, three hundred twenty".
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