| Base | Representation |
|---|---|
| bin | 111101001101111… |
| … | …0001110110000000 |
| 3 | 12022011011012202200 |
| 4 | 1322123301312000 |
| 5 | 13201322234100 |
| 6 | 535454313200 |
| 7 | 101621403510 |
| oct | 17233616600 |
| 9 | 5264135680 |
| 10 | 2054102400 |
| 11 | 96453a599 |
| 12 | 493ab8800 |
| 13 | 26973ab0c |
| 14 | 156b3d840 |
| 15 | c04ece00 |
| hex | 7a6f1d80 |
2054102400 has 576 divisors, whose sum is σ = 8760510720. Its totient is φ = 448081920.
The previous prime is 2054102381. The next prime is 2054102417. The reversal of 2054102400 is 42014502.
2054102400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4636579 + ... + 4637021.
It is an arithmetic number, because the mean of its divisors is an integer number (15209220).
Almost surely, 22054102400 is an apocalyptic number.
2054102400 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 2054102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380255360).
2054102400 is an abundant number, since it is smaller than the sum of its proper divisors (6706408320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2054102400 is a wasteful number, since it uses less digits than its factorization.
2054102400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 503 (or 483 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 2054102400 is about 45322.2064776198. The cubic root of 2054102400 is about 1271.1809132813.
Adding to 2054102400 its reverse (42014502), we get a palindrome (2096116902).
It can be divided in two parts, 2054102 and 400, that added together give a palindrome (2054502).
The spelling of 2054102400 in words is "two billion, fifty-four million, one hundred two thousand, four hundred".
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