| Base | Representation |
|---|---|
| bin | 110110100011011… |
| … | …0110111011100000 |
| 3 | 11201120102202200122 |
| 4 | 1231012312323200 |
| 5 | 12222102430100 |
| 6 | 501350135412 |
| 7 | 63235054451 |
| oct | 15506667340 |
| 9 | 4646382618 |
| 10 | 1830514400 |
| 11 | 85a306620 |
| 12 | 431051568 |
| 13 | 232315220 |
| 14 | 13517b128 |
| 15 | aaa84985 |
| hex | 6d1b6ee0 |
1830514400 has 144 divisors (see below), whose sum is σ = 5250320208. Its totient is φ = 614400000.
The previous prime is 1830514393. The next prime is 1830514421. The reversal of 1830514400 is 44150381.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a self number, because there is not a number n which added to its sum of digits gives 1830514400.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106400 + ... + 122400.
It is an arithmetic number, because the mean of its divisors is an integer number (36460557).
Almost surely, 21830514400 is an apocalyptic number.
1830514400 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 1830514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625160104).
1830514400 is an abundant number, since it is smaller than the sum of its proper divisors (3419805808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1830514400 is a wasteful number, since it uses less digits than its factorization.
1830514400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16045 (or 16032 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 26.
The square root of 1830514400 is about 42784.5112160931. The cubic root of 1830514400 is about 1223.2757972645.
Adding to 1830514400 its reverse (44150381), we get a palindrome (1874664781).
It can be divided in two parts, 183051 and 4400, that multiplied together give a square (805424400 = 283802).
The spelling of 1830514400 in words is "one billion, eight hundred thirty million, five hundred fourteen thousand, four hundred".
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