| Base | Representation |
|---|---|
| bin | 111100110011100… |
| … | …000100000000000 |
| 3 | 2122002120020201111 |
| 4 | 330303200200000 |
| 5 | 4042123313144 |
| 6 | 245121013104 |
| 7 | 34165002520 |
| oct | 7463404000 |
| 9 | 2562506644 |
| 10 | 1020135424 |
| 11 | 483926930 |
| 12 | 245784194 |
| 13 | 13346a139 |
| 14 | 996ad680 |
| 15 | 5e85c534 |
| hex | 3cce0800 |
1020135424 has 96 divisors (see below), whose sum is σ = 2543486400. Its totient is φ = 397393920.
The previous prime is 1020135421. The next prime is 1020135427. The reversal of 1020135424 is 4245310201.
It is an interprime number because it is at equal distance from previous prime (1020135421) and next prime (1020135427).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 1020135395 and 1020135404.
It is not an unprimeable number, because it can be changed into a prime (1020135421) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154462 + ... + 160930.
It is an arithmetic number, because the mean of its divisors is an integer number (26494650).
Almost surely, 21020135424 is an apocalyptic number.
1020135424 is a gapful number since it is divisible by the number (14) 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 1020135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271743200).
1020135424 is an abundant number, since it is smaller than the sum of its proper divisors (1523350976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020135424 is an equidigital number, since it uses as much as digits as its factorization.
1020135424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6509 (or 6489 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 22.
The square root of 1020135424 is about 31939.5589199350. The cubic root of 1020135424 is about 1006.6672568938.
Adding to 1020135424 its reverse (4245310201), we get a palindrome (5265445625).
The spelling of 1020135424 in words is "one billion, twenty million, one hundred thirty-five thousand, four hundred twenty-four".
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