Base | Representation |
---|---|
bin | 111111010111000… |
… | …001100101100000 |
3 | 2202002020000102210 |
4 | 333113001211200 |
5 | 4134112003131 |
6 | 253251442120 |
7 | 35225232402 |
oct | 7727014540 |
9 | 2662200383 |
10 | 1063000416 |
11 | 4a6043a45 |
12 | 257bb6340 |
13 | 13c2c7a3a |
14 | a126ab72 |
15 | 634c8146 |
hex | 3f5c1960 |
1063000416 has 96 divisors (see below), whose sum is σ = 2890073088. Its totient is φ = 341752320.
The previous prime is 1063000409. The next prime is 1063000459. The reversal of 1063000416 is 6140003601.
1063000416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×10630004162 = 2259939768832346112, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1063000392 and 1063000401.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627546 + ... + 1628198.
It is an arithmetic number, because the mean of its divisors is an integer number (30104928).
Almost surely, 21063000416 is an apocalyptic number.
1063000416 is a gapful number since it is divisible by the number (16) 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 1063000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445036544).
1063000416 is an abundant number, since it is smaller than the sum of its proper divisors (1827072672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1063000416 is a wasteful number, since it uses less digits than its factorization.
1063000416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
The square root of 1063000416 is about 32603.6871534494. The cubic root of 1063000416 is about 1020.5739484159.
The spelling of 1063000416 in words is "one billion, sixty-three million, four hundred sixteen", and thus it is an aban number.
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