Base | Representation |
---|---|
bin | 1111101000000… |
… | …00000111000000 |
3 | 100010122011121010 |
4 | 13310000013000 |
5 | 232023304243 |
6 | 21001200520 |
7 | 3151045263 |
oct | 764000700 |
9 | 303564533 |
10 | 131072448 |
11 | 67a94741 |
12 | 37a90140 |
13 | 21202980 |
14 | 1359ccda |
15 | b791433 |
hex | 7d001c0 |
131072448 has 112 divisors (see below), whose sum is σ = 395569440. Its totient is φ = 37945344.
The previous prime is 131072441. The next prime is 131072477. The reversal of 131072448 is 844270131.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131072441) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40888 + ... + 43976.
It is an arithmetic number, because the mean of its divisors is an integer number (3531870).
Almost surely, 2131072448 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 131072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197784720).
131072448 is an abundant number, since it is smaller than the sum of its proper divisors (264496992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131072448 is a wasteful number, since it uses less digits than its factorization.
131072448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3134 (or 3124 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 30.
The square root of 131072448 is about 11448.6876103770. The cubic root of 131072448 is about 507.9689153691.
The spelling of 131072448 in words is "one hundred thirty-one million, seventy-two thousand, four hundred forty-eight".
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