Base | Representation |
---|---|
bin | 1111101101111… |
… | …01001100100010 |
3 | 100012002112000020 |
4 | 13312331030202 |
5 | 232223100241 |
6 | 21025534310 |
7 | 3160452300 |
oct | 766751442 |
9 | 305075006 |
10 | 131846946 |
11 | 68473620 |
12 | 381a4396 |
13 | 2141435a |
14 | 13721270 |
15 | b895b66 |
hex | 7dbd322 |
131846946 has 96 divisors (see below), whose sum is σ = 340796160. Its totient is φ = 33616800.
The previous prime is 131846941. The next prime is 131846977. The reversal of 131846946 is 649648131.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 131846898 and 131846907.
It is not an unprimeable number, because it can be changed into a prime (131846941) 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, 190461 + ... + 191151.
It is an arithmetic number, because the mean of its divisors is an integer number (3549960).
Almost surely, 2131846946 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131846946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170398080).
131846946 is an abundant number, since it is smaller than the sum of its proper divisors (208949214).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131846946 is a wasteful number, since it uses less digits than its factorization.
131846946 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 780 (or 773 counting only the distinct ones).
The product of its digits is 124416, while the sum is 42.
The square root of 131846946 is about 11482.4625407619. The cubic root of 131846946 is about 508.9674688406.
The spelling of 131846946 in words is "one hundred thirty-one million, eight hundred forty-six thousand, nine hundred forty-six".
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