Base | Representation |
---|---|
bin | 1111101010110… |
… | …01110110000000 |
3 | 100011022211210011 |
4 | 13311121312000 |
5 | 232122040000 |
6 | 21013114304 |
7 | 3154135666 |
oct | 765316600 |
9 | 304284704 |
10 | 131440000 |
11 | 682158aa |
12 | 38028994 |
13 | 21301063 |
14 | 13656c36 |
15 | b8152ba |
hex | 7d59d80 |
131440000 has 160 divisors (see below), whose sum is σ = 344139840. Its totient is φ = 49920000.
The previous prime is 131439983. The next prime is 131440003. The reversal of 131440000 is 44131.
It is a tau number, because it is divible by the number of its divisors (160).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131440003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2479974 + ... + 2480026.
It is an arithmetic number, because the mean of its divisors is an integer number (2150874).
Almost surely, 2131440000 is an apocalyptic number.
131440000 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 131440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172069920).
131440000 is an abundant number, since it is smaller than the sum of its proper divisors (212699840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131440000 is an frugal number, since it uses more digits than its factorization.
131440000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 118 (or 91 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 131440000 is about 11464.7285183732. The cubic root of 131440000 is about 508.4432859590.
Adding to 131440000 its reverse (44131), we get a palindrome (131484131).
It can be divided in two parts, 1314 and 40000, that added together give a palindrome (41314).
The spelling of 131440000 in words is "one hundred thirty-one million, four hundred forty thousand".
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