Base | Representation |
---|---|
bin | 1111100011001… |
… | …00011010100000 |
3 | 100002102202210120 |
4 | 13301210122200 |
5 | 231342402340 |
6 | 20535400240 |
7 | 3142451103 |
oct | 761443240 |
9 | 302382716 |
10 | 130434720 |
11 | 67699599 |
12 | 37823080 |
13 | 2103b610 |
14 | 1347473a |
15 | b6b74d0 |
hex | 7c646a0 |
130434720 has 96 divisors (see below), whose sum is σ = 442495872. Its totient is φ = 32105472.
The previous prime is 130434713. The next prime is 130434757. The reversal of 130434720 is 27434031.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4212 + ... + 16691.
It is an arithmetic number, because the mean of its divisors is an integer number (4609332).
Almost surely, 2130434720 is an apocalyptic number.
130434720 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 130434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221247936).
130434720 is an abundant number, since it is smaller than the sum of its proper divisors (312061152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130434720 is a wasteful number, since it uses less digits than its factorization.
130434720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20934 (or 20926 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 24.
The square root of 130434720 is about 11420.8020734097. The cubic root of 130434720 is about 507.1437411685.
Adding to 130434720 its reverse (27434031), we get a palindrome (157868751).
The spelling of 130434720 in words is "one hundred thirty million, four hundred thirty-four thousand, seven hundred twenty".
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