| Base | Representation |
|---|---|
| bin | 100101010110100… |
| … | …0110010100000000 |
| 3 | 10020100101002012201 |
| 4 | 1022231012110000 |
| 5 | 10031323230240 |
| 6 | 324211202544 |
| 7 | 43026116515 |
| oct | 11255062400 |
| 9 | 3210332181 |
| 10 | 1253336320 |
| 11 | 593526145 |
| 12 | 2ab8a6454 |
| 13 | 16c87a332 |
| 14 | bc65530c |
| 15 | 75073d9a |
| hex | 4ab46500 |
1253336320 has 72 divisors (see below), whose sum is σ = 3009107304. Its totient is φ = 500170752.
The previous prime is 1253336299. The next prime is 1253336347. The reversal of 1253336320 is 236333521.
It can be written as a sum of positive squares in 4 ways, for example, as 850772224 + 402564096 = 29168^2 + 20064^2 .
It is a super-2 number, since 2×12533363202 = 3141703862062284800, which contains 22 as substring.
It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 737712 + ... + 739408.
It is an arithmetic number, because the mean of its divisors is an integer number (41793157).
Almost surely, 21253336320 is an apocalyptic number.
1253336320 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 1253336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504553652).
1253336320 is an abundant number, since it is smaller than the sum of its proper divisors (1755770984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1253336320 is an equidigital number, since it uses as much as digits as its factorization.
1253336320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2295 (or 2281 counting only the distinct ones).
The product of its (nonzero) digits is 9720, while the sum is 28.
The square root of 1253336320 is about 35402.4903078865. The cubic root of 1253336320 is about 1078.1748780901.
Adding to 1253336320 its reverse (236333521), we get a palindrome (1489669841).
The spelling of 1253336320 in words is "one billion, two hundred fifty-three million, three hundred thirty-six thousand, three hundred twenty".
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