| Base | Representation |
|---|---|
| bin | 101011100110101… |
| … | …1011100101010000 |
| 3 | 10202222011010220000 |
| 4 | 1113031123211100 |
| 5 | 10444030414030 |
| 6 | 401104050000 |
| 7 | 51154321215 |
| oct | 12715334520 |
| 9 | 3688133800 |
| 10 | 1463138640 |
| 11 | 6909a3797 |
| 12 | 34a003900 |
| 13 | 1a4187212 |
| 14 | dc469b0c |
| 15 | 886b7860 |
| hex | 5735b950 |
1463138640 has 400 divisors, whose sum is σ = 5347425600. Its totient is φ = 370427904.
The previous prime is 1463138557. The next prime is 1463138647. The reversal of 1463138640 is 468313641.
It is a happy number.
1463138640 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 1 + 3 + 8 + 640 = 666.
It is a super-2 number, since 2×14631386402 = 4281549359722099200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1463138595 and 1463138604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1463138647) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16439716 + ... + 16439804.
It is an arithmetic number, because the mean of its divisors is an integer number (13368564).
Almost surely, 21463138640 is an apocalyptic number.
1463138640 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 1463138640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673712800).
1463138640 is an abundant number, since it is smaller than the sum of its proper divisors (3884286960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1463138640 is a wasteful number, since it uses less digits than its factorization.
1463138640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 216 (or 201 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 1463138640 is about 38250.9952811688. The cubic root of 1463138640 is about 1135.2595394488.
The spelling of 1463138640 in words is "one billion, four hundred sixty-three million, one hundred thirty-eight thousand, six hundred forty".
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