| Base | Representation |
|---|---|
| bin | 111100001111111… |
| … | …101011010000000 |
| 3 | 2121110000210202100 |
| 4 | 330033331122000 |
| 5 | 4032232113030 |
| 6 | 244145150400 |
| 7 | 34022541201 |
| oct | 7417753200 |
| 9 | 2543023670 |
| 10 | 1010816640 |
| 11 | 479641559 |
| 12 | 24262b400 |
| 13 | 131556672 |
| 14 | 983655a8 |
| 15 | 5db1b360 |
| hex | 3c3fd680 |
1010816640 has 192 divisors, whose sum is σ = 3523632840. Its totient is φ = 266993664.
The previous prime is 1010816633. The next prime is 1010816647. The reversal of 1010816640 is 466180101.
1010816640 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 8 + 16 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (1010816633) and next prime (1010816647).
It can be written as a sum of positive squares in 4 ways, for example, as 276623424 + 734193216 = 16632^2 + 27096^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a zygodrome in base 4.
It is not an unprimeable number, because it can be changed into a prime (1010816647) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650104 + ... + 651656.
Almost surely, 21010816640 is an apocalyptic number.
1010816640 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 1010816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761816420).
1010816640 is an abundant number, since it is smaller than the sum of its proper divisors (2512816200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010816640 is a wasteful number, since it uses less digits than its factorization.
1010816640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1691 (or 1676 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 1010816640 is about 31793.3426993765. The cubic root of 1010816640 is about 1003.5926242610.
Adding to 1010816640 its reverse (466180101), we get a palindrome (1476996741).
The spelling of 1010816640 in words is "one billion, ten million, eight hundred sixteen thousand, six hundred forty".
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