| Base | Representation |
|---|---|
| bin | 111100111111010… |
| … | …000011101000000 |
| 3 | 2122022100201200120 |
| 4 | 330333100131000 |
| 5 | 4043420343144 |
| 6 | 245311020240 |
| 7 | 34233121230 |
| oct | 7477203500 |
| 9 | 2568321616 |
| 10 | 1023215424 |
| 11 | 48563a990 |
| 12 | 24680a680 |
| 13 | 133ca801a |
| 14 | 99c71cc0 |
| 15 | 5ec69e19 |
| hex | 3cfd0740 |
1023215424 has 224 divisors, whose sum is σ = 3428975616. Its totient is φ = 261550080.
The previous prime is 1023215407. The next prime is 1023215429. The reversal of 1023215424 is 4245123201.
1023215424 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 (224).
It is a super-2 number, since 2×10232154242 = 2093939607822999552, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1023215394 and 1023215403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023215429) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990012 + ... + 991044.
Almost surely, 21023215424 is an apocalyptic number.
1023215424 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 1023215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714487808).
1023215424 is an abundant number, since it is smaller than the sum of its proper divisors (2405760192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023215424 is a wasteful number, since it uses less digits than its factorization.
1023215424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1133 (or 1123 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
The square root of 1023215424 is about 31987.7386509269. The cubic root of 1023215424 is about 1007.6793512740.
Adding to 1023215424 its reverse (4245123201), we get a palindrome (5268338625).
The spelling of 1023215424 in words is "one billion, twenty-three million, two hundred fifteen thousand, four hundred twenty-four".
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