| Base | Representation |
|---|---|
| bin | 100110101111111… |
| … | …1011001010000000 |
| 3 | 10100121120201211220 |
| 4 | 1031133323022000 |
| 5 | 10130323330100 |
| 6 | 333004035040 |
| 7 | 44135432352 |
| oct | 11537731200 |
| 9 | 3317521756 |
| 10 | 1300214400 |
| 11 | 607a34361 |
| 12 | 303532a80 |
| 13 | 1794b1744 |
| 14 | c49790d2 |
| 15 | 79233aa0 |
| hex | 4d7fb280 |
1300214400 has 384 divisors, whose sum is σ = 4698984960. Its totient is φ = 314572800.
The previous prime is 1300214389. The next prime is 1300214407. The reversal of 1300214400 is 44120031.
It is a tau number, because it is divible by the number of its divisors (384).
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 1300214400.
It is not an unprimeable number, because it can be changed into a prime (1300214407) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5059072 + ... + 5059328.
It is an arithmetic number, because the mean of its divisors is an integer number (12236940).
Almost surely, 21300214400 is an apocalyptic number.
1300214400 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 1300214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349492480).
1300214400 is an abundant number, since it is smaller than the sum of its proper divisors (3398770560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1300214400 is a wasteful number, since it uses less digits than its factorization.
1300214400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 332 (or 315 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 1300214400 is about 36058.4858251147. The cubic root of 1300214400 is about 1091.4528783872.
Adding to 1300214400 its reverse (44120031), we get a palindrome (1344334431).
It can be divided in two parts, 130021 and 4400, that added together give a triangular number (134421 = T518).
The spelling of 1300214400 in words is "one billion, three hundred million, two hundred fourteen thousand, four hundred".
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