| Base | Representation |
|---|---|
| bin | 1111110001100… |
| … | …11101011100000 |
| 3 | 100020000011201200 |
| 4 | 13320303223200 |
| 5 | 232334113011 |
| 6 | 21044201200 |
| 7 | 3164543220 |
| oct | 770635340 |
| 9 | 306004650 |
| 10 | 132332256 |
| 11 | 68775201 |
| 12 | 38399200 |
| 13 | 21554214 |
| 14 | 1380a080 |
| 15 | b93e856 |
| hex | 7e33ae0 |
132332256 has 144 divisors (see below), whose sum is σ = 440844768. Its totient is φ = 36864000.
The previous prime is 132332251. The next prime is 132332261. The reversal of 132332256 is 652233231.
It is an interprime number because it is at equal distance from previous prime (132332251) and next prime (132332261).
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132332251) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81856 + ... + 83456.
It is an arithmetic number, because the mean of its divisors is an integer number (3061422).
Almost surely, 2132332256 is an apocalyptic number.
132332256 is a gapful number since it is divisible by the number (16) 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 132332256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220422384).
132332256 is an abundant number, since it is smaller than the sum of its proper divisors (308512512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132332256 is a wasteful number, since it uses less digits than its factorization.
132332256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1665 (or 1654 counting only the distinct ones).
The product of its digits is 6480, while the sum is 27.
The square root of 132332256 is about 11503.5757919005. The cubic root of 132332256 is about 509.5911833369.
Adding to 132332256 its reverse (652233231), we get a palindrome (784565487).
It can be divided in two parts, 13233225 and 6, that added together give a palindrome (13233231).
The spelling of 132332256 in words is "one hundred thirty-two million, three hundred thirty-two thousand, two hundred fifty-six".
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