| Base | Representation |
|---|---|
| bin | 1111101011101… |
| … | …11001111100000 |
| 3 | 100011112221222000 |
| 4 | 13311313033200 |
| 5 | 232134413131 |
| 6 | 21015444000 |
| 7 | 3155150031 |
| oct | 765671740 |
| 9 | 304487860 |
| 10 | 131560416 |
| 11 | 68298319 |
| 12 | 38086600 |
| 13 | 21343b00 |
| 14 | 13688a88 |
| 15 | b83ace6 |
| hex | 7d773e0 |
131560416 has 288 divisors, whose sum is σ = 448247520. Its totient is φ = 37380096.
The previous prime is 131560409. The next prime is 131560439. The reversal of 131560416 is 614065131.
131560416 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 (288).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 131560416.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2482246 + ... + 2482298.
It is an arithmetic number, because the mean of its divisors is an integer number (1556415).
Almost surely, 2131560416 is an apocalyptic number.
131560416 is a gapful number since it is divisible by the number (16) 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 131560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224123760).
131560416 is an abundant number, since it is smaller than the sum of its proper divisors (316687104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131560416 is a wasteful number, since it uses less digits than its factorization.
131560416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 131560416 is about 11469.9789014627. The cubic root of 131560416 is about 508.5985051202.
The spelling of 131560416 in words is "one hundred thirty-one million, five hundred sixty thousand, four hundred sixteen".
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