Base | Representation |
---|---|
bin | 1111101100100… |
… | …00110110000000 |
3 | 100011202021210212 |
4 | 13312100312000 |
5 | 232201242110 |
6 | 21022013252 |
7 | 3156064535 |
oct | 766206600 |
9 | 304667725 |
10 | 131665280 |
11 | 6835a08a |
12 | 38117228 |
13 | 2137c766 |
14 | 136b4d8c |
15 | b85be05 |
hex | 7d90d80 |
131665280 has 64 divisors (see below), whose sum is σ = 316159200. Its totient is φ = 52432896.
The previous prime is 131665243. The next prime is 131665291. The reversal of 131665280 is 82566131.
It is a happy number.
131665280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261509 + ... + 262011.
Almost surely, 2131665280 is an apocalyptic number.
131665280 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 131665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158079600).
131665280 is an abundant number, since it is smaller than the sum of its proper divisors (184493920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131665280 is an equidigital number, since it uses as much as digits as its factorization.
131665280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 931 (or 919 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 32.
The square root of 131665280 is about 11474.5492286190. The cubic root of 131665280 is about 508.7336002376.
The spelling of 131665280 in words is "one hundred thirty-one million, six hundred sixty-five thousand, two hundred eighty".
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