| Base | Representation |
|---|---|
| bin | 111100111000011… |
| … | …100101010000000 |
| 3 | 2122012000001002120 |
| 4 | 330320130222000 |
| 5 | 4042441233100 |
| 6 | 245204444240 |
| 7 | 34212005124 |
| oct | 7470345200 |
| 9 | 2565001076 |
| 10 | 1021430400 |
| 11 | 484630861 |
| 12 | 2460a9680 |
| 13 | 1338016b3 |
| 14 | 99929584 |
| 15 | 5ea160a0 |
| hex | 3ce1ca80 |
1021430400 has 192 divisors, whose sum is σ = 3400288320. Its totient is φ = 269475840.
The previous prime is 1021430387. The next prime is 1021430401. The reversal of 1021430400 is 40341201.
It is a tau number, because it is divible by the number of its divisors (192).
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 1021430400.
It is not an unprimeable number, because it can be changed into a prime (1021430401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988284 + ... + 989316.
It is an arithmetic number, because the mean of its divisors is an integer number (17709835).
Almost surely, 21021430400 is an apocalyptic number.
1021430400 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 1021430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700144160).
1021430400 is an abundant number, since it is smaller than the sum of its proper divisors (2378857920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021430400 is a wasteful number, since it uses less digits than its factorization.
1021430400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 1021430400 is about 31959.8247804959. The cubic root of 1021430400 is about 1007.0930365462.
Adding to 1021430400 its reverse (40341201), we get a palindrome (1061771601).
The spelling of 1021430400 in words is "one billion, twenty-one million, four hundred thirty thousand, four hundred".
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