| Base | Representation |
|---|---|
| bin | 1111101000000… |
| … | …00000000000000 |
| 3 | 100010122010222112 |
| 4 | 13310000000000 |
| 5 | 232023301000 |
| 6 | 21001154452 |
| 7 | 3151044053 |
| oct | 764000000 |
| 9 | 303563875 |
| 10 | 131072000 |
| 11 | 67a94374 |
| 12 | 37a8ba28 |
| 13 | 212026c7 |
| 14 | 1359ca9a |
| 15 | b791235 |
| hex | 7d00000 |
131072000 has 84 divisors (see below), whose sum is σ = 327155556. Its totient is φ = 52428800.
The previous prime is 131071987. The next prime is 131072003. The reversal of 131072000 is 270131.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
131072000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 4194304 + 126877696 = 2048^2 + 11264^2 .
It is a nialpdrome in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131072003) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26214398 + ... + 26214402.
It is an arithmetic number, because the mean of its divisors is an integer number (3894709).
Almost surely, 2131072000 is an apocalyptic number.
131072000 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 131072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577778).
131072000 is an abundant number, since it is smaller than the sum of its proper divisors (196083556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131072000 is an frugal number, since it uses more digits than its factorization.
131072000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 42, while the sum is 14.
The square root of 131072000 is about 11448.6680447989. The cubic root of 131072000 is about 507.9683366298.
The spelling of 131072000 in words is "one hundred thirty-one million, seventy-two thousand".
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