| Base | Representation |
|---|---|
| bin | 101001100101101… |
| … | …0001011000000000 |
| 3 | 10121020210220022000 |
| 4 | 1103023101120000 |
| 5 | 10324214314210 |
| 6 | 350245344000 |
| 7 | 46403150142 |
| oct | 12313213000 |
| 9 | 3536726260 |
| 10 | 1395463680 |
| 11 | 656780576 |
| 12 | 32b408000 |
| 13 | 193150a70 |
| 14 | d3490c92 |
| 15 | 8279aac0 |
| hex | 532d1600 |
1395463680 has 320 divisors, whose sum is σ = 5341533120. Its totient is φ = 343277568.
The previous prime is 1395463669. The next prime is 1395463687. The reversal of 1395463680 is 863645931.
1395463680 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 4 + 636 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (320).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1395463687) 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 31 ways as a sum of consecutive naturals, for example, 897784 + ... + 899336.
It is an arithmetic number, because the mean of its divisors is an integer number (16692291).
Almost surely, 21395463680 is an apocalyptic number.
1395463680 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 1395463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670766560).
1395463680 is an abundant number, since it is smaller than the sum of its proper divisors (3946069440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1395463680 is a wasteful number, since it uses less digits than its factorization.
1395463680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).
The product of its (nonzero) digits is 466560, while the sum is 45.
The square root of 1395463680 is about 37355.9055572208. The cubic root of 1395463680 is about 1117.4793654133.
The spelling of 1395463680 in words is "one billion, three hundred ninety-five million, four hundred sixty-three thousand, six hundred eighty".
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