Base | Representation |
---|---|
bin | 1111101011000… |
… | …10000011010100 |
3 | 100011101112220100 |
4 | 13311202003110 |
5 | 232124123440 |
6 | 21013534100 |
7 | 3154336005 |
oct | 765420324 |
9 | 304345810 |
10 | 131473620 |
11 | 68239093 |
12 | 38044330 |
13 | 21313455 |
14 | 136651ac |
15 | b820230 |
hex | 7d620d4 |
131473620 has 72 divisors (see below), whose sum is σ = 402522120. Its totient is φ = 34732800.
The previous prime is 131473613. The next prime is 131473627. The reversal of 131473620 is 26374131.
131473620 is a `hidden beast` number, since 1 + 31 + 4 + 7 + 3 + 620 = 666.
It is an interprime number because it is at equal distance from previous prime (131473613) and next prime (131473627).
It can be written as a sum of positive squares in 4 ways, for example, as 17539344 + 113934276 = 4188^2 + 10674^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131473627) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16270 + ... + 22970.
It is an arithmetic number, because the mean of its divisors is an integer number (5590585).
Almost surely, 2131473620 is an apocalyptic number.
131473620 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 131473620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201261060).
131473620 is an abundant number, since it is smaller than the sum of its proper divisors (271048500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131473620 is a wasteful number, since it uses less digits than its factorization.
131473620 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6825 (or 6820 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 131473620 is about 11466.1946608280. The cubic root of 131473620 is about 508.4866324949.
The spelling of 131473620 in words is "one hundred thirty-one million, four hundred seventy-three thousand, six hundred twenty".
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