Base | Representation |
---|---|
bin | 100101010110000… |
… | …0010100101100000 |
3 | 10020022211222200100 |
4 | 1022230002211200 |
5 | 10031240341122 |
6 | 324201222400 |
7 | 43023552660 |
oct | 11254024540 |
9 | 3208758610 |
10 | 1253058912 |
11 | 593356786 |
12 | 2ab791a00 |
13 | 16c7b0ca1 |
14 | bc5c21a0 |
15 | 7501baac |
hex | 4ab02960 |
1253058912 has 144 divisors (see below), whose sum is σ = 4213067040. Its totient is φ = 345655296.
The previous prime is 1253058887. The next prime is 1253058923. The reversal of 1253058912 is 2198503521.
1253058912 is a `hidden beast` number, since 12 + 53 + 0 + 589 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 23 ways as a sum of consecutive naturals, for example, 47748 + ... + 69180.
It is an arithmetic number, because the mean of its divisors is an integer number (29257410).
Almost surely, 21253058912 is an apocalyptic number.
1253058912 is a gapful number since it is divisible by the number (12) 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 1253058912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106533520).
1253058912 is an abundant number, since it is smaller than the sum of its proper divisors (2960008128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1253058912 is a wasteful number, since it uses less digits than its factorization.
1253058912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21485 (or 21474 counting only the distinct ones).
The product of its (nonzero) digits is 21600, while the sum is 36.
The square root of 1253058912 is about 35398.5721745948. The cubic root of 1253058912 is about 1078.0953260440.
The spelling of 1253058912 in words is "one billion, two hundred fifty-three million, fifty-eight thousand, nine hundred twelve".
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