Base | Representation |
---|---|
bin | 100110110001100… |
… | …0101010100000000 |
3 | 10100200010210200202 |
4 | 1031203011110000 |
5 | 10131031324212 |
6 | 333033504332 |
7 | 44145451424 |
oct | 11543052400 |
9 | 3320123622 |
10 | 1301042432 |
11 | 60844a488 |
12 | 3038720a8 |
13 | 1797115c1 |
14 | c4b12b84 |
15 | 793490c2 |
hex | 4d8c5500 |
1301042432 has 36 divisors (see below), whose sum is σ = 2608460820. Its totient is φ = 647651328.
The previous prime is 1301042401. The next prime is 1301042437. The reversal of 1301042432 is 2342401031.
It can be written as a sum of positive squares in 2 ways, for example, as 1223320576 + 77721856 = 34976^2 + 8816^2 .
It is a super-2 number, since 2×13010424322 = 3385422819728949248, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1301042437) 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 3 ways as a sum of consecutive naturals, for example, 47528 + ... + 69720.
It is an arithmetic number, because the mean of its divisors is an integer number (72457245).
Almost surely, 21301042432 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 1301042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304230410).
1301042432 is an abundant number, since it is smaller than the sum of its proper divisors (1307418388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1301042432 is an equidigital number, since it uses as much as digits as its factorization.
1301042432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22438 (or 22424 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 1301042432 is about 36069.9657887279. The cubic root of 1301042432 is about 1091.6845238058.
Adding to 1301042432 its reverse (2342401031), we get a palindrome (3643443463).
The spelling of 1301042432 in words is "one billion, three hundred one million, forty-two thousand, four hundred thirty-two".
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