Base | Representation |
---|---|
bin | 1111101110101… |
… | …00101010101100 |
3 | 100012021101212220 |
4 | 13313110222230 |
5 | 232234134314 |
6 | 21031555340 |
7 | 3161332500 |
oct | 767245254 |
9 | 305241786 |
10 | 131943084 |
11 | 68529879 |
12 | 3822bb50 |
13 | 21449040 |
14 | 13748300 |
15 | b8b43a9 |
hex | 7dd4aac |
131943084 has 144 divisors (see below), whose sum is σ = 396025056. Its totient is φ = 33868800.
The previous prime is 131943059. The next prime is 131943089. The reversal of 131943084 is 480349131.
131943084 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
131943084 is strictly pandigital in base 9.
It is not an unprimeable number, because it can be changed into a prime (131943089) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313194 + ... + 313614.
It is an arithmetic number, because the mean of its divisors is an integer number (2750174).
Almost surely, 2131943084 is an apocalyptic number.
131943084 is a gapful number since it is divisible by the number (14) 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 131943084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198012528).
131943084 is an abundant number, since it is smaller than the sum of its proper divisors (264081972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131943084 is a wasteful number, since it uses less digits than its factorization.
131943084 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 496 (or 487 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 33.
The square root of 131943084 is about 11486.6480750478. The cubic root of 131943084 is about 509.0911456438.
The spelling of 131943084 in words is "one hundred thirty-one million, nine hundred forty-three thousand, eighty-four".
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