Base | Representation |
---|---|
bin | 100101111100001… |
… | …0110010000000000 |
3 | 10021201111021022021 |
4 | 1023320112100000 |
5 | 10101400444100 |
6 | 330154051224 |
7 | 43355565121 |
oct | 11370262000 |
9 | 3251437267 |
10 | 1273062400 |
11 | 5a3679695 |
12 | 2b6419b14 |
13 | 173995b7c |
14 | c110c048 |
15 | 76b6da1a |
hex | 4be16400 |
1273062400 has 99 divisors (see below), whose sum is σ = 3169867521. Its totient is φ = 506941440.
The previous prime is 1273062389. The next prime is 1273062449. The reversal of 1273062400 is 42603721.
The square root of 1273062400 is 35680.
It is a perfect power (a square), and thus also a powerful number.
1273062400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 458302464 + 814759936 = 21408^2 + 28544^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 5708689 + ... + 5708911.
Almost surely, 21273062400 is an apocalyptic number.
1273062400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1273062400 is the 35680-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1273062400
1273062400 is an abundant number, since it is smaller than the sum of its proper divisors (1896805121).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1273062400 is an frugal number, since it uses more digits than its factorization.
1273062400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 476 (or 230 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 25.
The cubic root of 1273062400 is about 1083.8018728051.
Multiplying 1273062400 by its sum of digits (25), we get a square (31826560000 = 1784002).
1273062400 divided by its sum of digits (25) gives a square (50922496 = 71362).
The spelling of 1273062400 in words is "one billion, two hundred seventy-three million, sixty-two thousand, four hundred".
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