Base | Representation |
---|---|
bin | 1111100101101… |
… | …01010000000000 |
3 | 100010001120222200 |
4 | 13302311100000 |
5 | 231434001244 |
6 | 20550433200 |
7 | 3145330320 |
oct | 762652000 |
9 | 303046880 |
10 | 130765824 |
11 | 678a5332 |
12 | 37962800 |
13 | 21126237 |
14 | 1351d280 |
15 | b730669 |
hex | 7cb5400 |
130765824 has 132 divisors (see below), whose sum is σ = 431736864. Its totient is φ = 37343232.
The previous prime is 130765823. The next prime is 130765837. The reversal of 130765824 is 428567031.
130765824 is a `hidden beast` number, since 1 + 3 + 0 + 76 + 582 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130765823) 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 11 ways as a sum of consecutive naturals, for example, 63499 + ... + 65525.
Almost surely, 2130765824 is an apocalyptic number.
130765824 is a gapful number since it is divisible by the number (14) 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 130765824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215868432).
130765824 is an abundant number, since it is smaller than the sum of its proper divisors (300971040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130765824 is a wasteful number, since it uses less digits than its factorization.
130765824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2060 (or 2039 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 130765824 is about 11435.2885403037. The cubic root of 130765824 is about 507.5725008250.
The spelling of 130765824 in words is "one hundred thirty million, seven hundred sixty-five thousand, eight hundred twenty-four".
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