Base | Representation |
---|---|
bin | 1111101000110… |
… | …11100101000110 |
3 | 100010211212221110 |
4 | 13310123211012 |
5 | 232040404331 |
6 | 21003425450 |
7 | 3152024313 |
oct | 764334506 |
9 | 303755843 |
10 | 131184966 |
11 | 68061230 |
12 | 37b25286 |
13 | 21241c53 |
14 | 135cbd0a |
15 | b7b4946 |
hex | 7d1b946 |
131184966 has 48 divisors (see below), whose sum is σ = 291665088. Its totient is φ = 39010800.
The previous prime is 131184941. The next prime is 131184967. The reversal of 131184966 is 669481131.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131184967) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229461 + ... + 230031.
It is an arithmetic number, because the mean of its divisors is an integer number (6076356).
Almost surely, 2131184966 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131184966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145832544).
131184966 is an abundant number, since it is smaller than the sum of its proper divisors (160480122).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131184966 is a wasteful number, since it uses less digits than its factorization.
131184966 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 705 (or 646 counting only the distinct ones).
The product of its digits is 31104, while the sum is 39.
The square root of 131184966 is about 11453.6005692533. The cubic root of 131184966 is about 508.1142276250.
The spelling of 131184966 in words is "one hundred thirty-one million, one hundred eighty-four thousand, nine hundred sixty-six".
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