| Base | Representation |
|---|---|
| bin | 1000111100001110… |
| … | …1010011110110000 |
| 3 | 20012021012211102112 |
| 4 | 2033003222132300 |
| 5 | 14403411233240 |
| 6 | 1034054304452 |
| 7 | 113322350600 |
| oct | 21703523660 |
| 9 | 6167184375 |
| 10 | 2400102320 |
| 11 | 1021882440 |
| 12 | 56b958128 |
| 13 | 2c33233b5 |
| 14 | 18aa88c00 |
| 15 | e0a96665 |
| hex | 8f0ea7b0 |
2400102320 has 120 divisors (see below), whose sum is σ = 7081542288. Its totient is φ = 748070400.
The previous prime is 2400102317. The next prime is 2400102323. The reversal of 2400102320 is 232010042.
2400102320 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 (2400102317) and next prime (2400102323).
It is a super-2 number, since 2×24001023202 = 11520982292938764800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 2400102295 and 2400102304.
It is not an unprimeable number, because it can be changed into a prime (2400102323) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15290 + ... + 70950.
Almost surely, 22400102320 is an apocalyptic number.
2400102320 is a gapful number since it is divisible by the number (20) 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 2400102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540771144).
2400102320 is an abundant number, since it is smaller than the sum of its proper divisors (4681439968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2400102320 is a wasteful number, since it uses less digits than its factorization.
2400102320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55699 (or 55686 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 2400102320 is about 48990.8391436603. The cubic root of 2400102320 is about 1338.8849266660.
Adding to 2400102320 its reverse (232010042), we get a palindrome (2632112362).
The spelling of 2400102320 in words is "two billion, four hundred million, one hundred two thousand, three hundred twenty".
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