| Base | Representation |
|---|---|
| bin | 100101110010111… |
| … | …0100011001000000 |
| 3 | 10021101100111101000 |
| 4 | 1023211310121000 |
| 5 | 10044130030440 |
| 6 | 325502012000 |
| 7 | 43266365010 |
| oct | 11345643100 |
| 9 | 3241314330 |
| 10 | 1268205120 |
| 11 | 5a0961306 |
| 12 | 2b4877000 |
| 13 | 172985040 |
| 14 | c0605c40 |
| 15 | 7650e730 |
| hex | 4b974640 |
1268205120 has 448 divisors, whose sum is σ = 5509808640. Its totient is φ = 267411456.
The previous prime is 1268205079. The next prime is 1268205121. The reversal of 1268205120 is 215028621.
It is a happy number.
1268205120 is a `hidden beast` number, since 126 + 8 + 20 + 512 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1268205121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785434 + ... + 787046.
It is an arithmetic number, because the mean of its divisors is an integer number (12298680).
Almost surely, 21268205120 is an apocalyptic number.
1268205120 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 1268205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754904320).
1268205120 is an abundant number, since it is smaller than the sum of its proper divisors (4241603520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1268205120 is a wasteful number, since it uses less digits than its factorization.
1268205120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1659 (or 1643 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 1268205120 is about 35611.8676848042. The cubic root of 1268205120 is about 1082.4217261041.
The spelling of 1268205120 in words is "one billion, two hundred sixty-eight million, two hundred five thousand, one hundred twenty".
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