Base | Representation |
---|---|
bin | 1111100000001… |
… | …00010011110000 |
3 | 100001200202211000 |
4 | 13300010103300 |
5 | 231242303242 |
6 | 20523122000 |
7 | 3136221330 |
oct | 760042360 |
9 | 301622730 |
10 | 130041072 |
11 | 6744a867 |
12 | 37673300 |
13 | 20c313a5 |
14 | 133b10c0 |
15 | b63aa4c |
hex | 7c044f0 |
130041072 has 80 divisors (see below), whose sum is σ = 426599680. Its totient is φ = 37153728.
The previous prime is 130041029. The next prime is 130041077. The reversal of 130041072 is 270140031.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130041077) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18478 + ... + 24525.
It is an arithmetic number, because the mean of its divisors is an integer number (5332496).
Almost surely, 2130041072 is an apocalyptic number.
130041072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
130041072 is an abundant number, since it is smaller than the sum of its proper divisors (296558608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130041072 is a wasteful number, since it uses less digits than its factorization.
130041072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43027 (or 43015 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 130041072 is about 11403.5552351010. Note that the first 3 decimals coincide. The cubic root of 130041072 is about 506.6330456299.
The spelling of 130041072 in words is "one hundred thirty million, forty-one thousand, seventy-two".
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