| Base | Representation |
|---|---|
| bin | 111011110110000… |
| … | …111100010100000 |
| 3 | 2120222021122020120 |
| 4 | 323312013202200 |
| 5 | 4024013324100 |
| 6 | 243344040240 |
| 7 | 33611135214 |
| oct | 7366074240 |
| 9 | 2528248216 |
| 10 | 1004042400 |
| 11 | 475834a09 |
| 12 | 240303080 |
| 13 | 13002413a |
| 14 | 974c0944 |
| 15 | 5d22e0a0 |
| hex | 3bd878a0 |
1004042400 has 72 divisors (see below), whose sum is σ = 3268165824. Its totient is φ = 267744000.
The previous prime is 1004042393. The next prime is 1004042407. The reversal of 1004042400 is 42404001.
1004042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1004042393) and next prime (1004042407).
It is a super-2 number, since 2×10040424002 = 2016202281995520000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1004042400.
It is not an unprimeable number, because it can be changed into a prime (1004042407) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206776 + ... + 211575.
It is an arithmetic number, because the mean of its divisors is an integer number (45391192).
Almost surely, 21004042400 is an apocalyptic number.
1004042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1004042400 is an abundant number, since it is smaller than the sum of its proper divisors (2264123424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004042400 is a wasteful number, since it uses less digits than its factorization.
1004042400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 418374 (or 418361 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 15.
The square root of 1004042400 is about 31686.6280945133. The cubic root of 1004042400 is about 1001.3456550669.
Adding to 1004042400 its reverse (42404001), we get a palindrome (1046446401).
The spelling of 1004042400 in words is "one billion, four million, forty-two thousand, four hundred".
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