| Base | Representation |
|---|---|
| bin | 111100111110100… |
| … | …101101000100000 |
| 3 | 2122022000211002120 |
| 4 | 330332211220200 |
| 5 | 4043344240112 |
| 6 | 245303144240 |
| 7 | 34231461000 |
| oct | 7476455040 |
| 9 | 2568024076 |
| 10 | 1023040032 |
| 11 | 485530133 |
| 12 | 246745080 |
| 13 | 133c46241 |
| 14 | 99c28000 |
| 15 | 5ec32e8c |
| hex | 3cfa5a20 |
1023040032 has 96 divisors (see below), whose sum is σ = 3131856000. Its totient is φ = 292287744.
The previous prime is 1023040027. The next prime is 1023040043. The reversal of 1023040032 is 2300403201.
1023040032 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 2×10230400322 = 2093221814149122048, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1023039993 and 1023040020.
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, 17394 + ... + 48462.
It is an arithmetic number, because the mean of its divisors is an integer number (32623500).
Almost surely, 21023040032 is an apocalyptic number.
1023040032 is a gapful number since it is divisible by the number (12) 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 1023040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565928000).
1023040032 is an abundant number, since it is smaller than the sum of its proper divisors (2108815968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023040032 is an equidigital number, since it uses as much as digits as its factorization.
1023040032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31103 (or 31081 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 1023040032 is about 31984.9969829606. The cubic root of 1023040032 is about 1007.6217716767.
Adding to 1023040032 its reverse (2300403201), we get a palindrome (3323443233).
The spelling of 1023040032 in words is "one billion, twenty-three million, forty thousand, thirty-two".
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