Base | Representation |
---|---|
bin | 1111010010010… |
… | …10100000000000 |
3 | 22221021211110000 |
4 | 13221022200000 |
5 | 230311401144 |
6 | 20420240000 |
7 | 3114643356 |
oct | 751124000 |
9 | 287254400 |
10 | 128231424 |
11 | 66424192 |
12 | 36b40000 |
13 | 207497a9 |
14 | 1305d7d6 |
15 | b3ce769 |
hex | 7a4a800 |
128231424 has 120 divisors (see below), whose sum is σ = 383513130. Its totient is φ = 42688512.
The previous prime is 128231423. The next prime is 128231443. The reversal of 128231424 is 424132821.
128231424 is a `hidden beast` number, since 1 + 2 + 8 + 231 + 424 = 666.
It can be written as a sum of positive squares in only one way, i.e., 126157824 + 2073600 = 11232^2 + 1440^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (128231423) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165502 + ... + 166274.
Almost surely, 2128231424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 128231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191756565).
128231424 is an abundant number, since it is smaller than the sum of its proper divisors (255281706).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128231424 is an frugal number, since it uses more digits than its factorization.
128231424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 807 (or 778 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
The square root of 128231424 is about 11323.9314727704. The cubic root of 128231424 is about 504.2719620644.
The spelling of 128231424 in words is "one hundred twenty-eight million, two hundred thirty-one thousand, four hundred twenty-four".
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