Base | Representation |
---|---|
bin | 1111100110111… |
… | …00101101100000 |
3 | 100010100210201001 |
4 | 13303130231200 |
5 | 232004134311 |
6 | 20554121344 |
7 | 3146602462 |
oct | 763345540 |
9 | 303323631 |
10 | 130927456 |
11 | 679a5810 |
12 | 37a20254 |
13 | 2118198a |
14 | 13562132 |
15 | b7634c1 |
hex | 7cdcb60 |
130927456 has 48 divisors (see below), whose sum is σ = 282175488. Its totient is φ = 59305600.
The previous prime is 130927453. The next prime is 130927463. The reversal of 130927456 is 654729031.
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130927451) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151281 + ... + 152143.
It is an arithmetic number, because the mean of its divisors is an integer number (5878656).
Almost surely, 2130927456 is an apocalyptic number.
130927456 is a gapful number since it is divisible by the number (16) 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 130927456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141087744).
130927456 is an abundant number, since it is smaller than the sum of its proper divisors (151248032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130927456 is a wasteful number, since it uses less digits than its factorization.
130927456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 37.
The square root of 130927456 is about 11442.3536040449. The cubic root of 130927456 is about 507.7815416317.
The spelling of 130927456 in words is "one hundred thirty million, nine hundred twenty-seven thousand, four hundred fifty-six".
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