Base | Representation |
---|---|
bin | 1111101001111… |
… | …00111101010000 |
3 | 100011002211110221 |
4 | 13310330331100 |
5 | 232104243210 |
6 | 21010402424 |
7 | 3153134020 |
oct | 764747520 |
9 | 304084427 |
10 | 131321680 |
11 | 68144a16 |
12 | 37b90414 |
13 | 2128c249 |
14 | 13625a80 |
15 | b7e01da |
hex | 7d3cf50 |
131321680 has 80 divisors (see below), whose sum is σ = 351477504. Its totient is φ = 44697600.
The previous prime is 131321677. The next prime is 131321681. The reversal of 131321680 is 86123131.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131321681) 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, 83784 + ... + 85336.
Almost surely, 2131321680 is an apocalyptic number.
131321680 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 131321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175738752).
131321680 is an abundant number, since it is smaller than the sum of its proper divisors (220155824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131321680 is a wasteful number, since it uses less digits than its factorization.
131321680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 25.
The square root of 131321680 is about 11459.5671820536. The cubic root of 131321680 is about 508.2906762258.
The spelling of 131321680 in words is "one hundred thirty-one million, three hundred twenty-one thousand, six hundred eighty".
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