Base | Representation |
---|---|
bin | 100000010011001… |
… | …100000000000000 |
3 | 1101202200102011000 |
4 | 200103030000000 |
5 | 2102211311200 |
6 | 125434452000 |
7 | 16300036500 |
oct | 4023140000 |
9 | 1352612130 |
10 | 541900800 |
11 | 258986101 |
12 | 131594000 |
13 | 88365b7c |
14 | 51d81a00 |
15 | 32893300 |
hex | 204cc000 |
541900800 has 540 divisors, whose sum is σ = 2315971560. Its totient is φ = 123863040.
The previous prime is 541900783. The next prime is 541900829. The reversal of 541900800 is 8009145.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (540).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77414397 + ... + 77414403.
Almost surely, 2541900800 is an apocalyptic number.
541900800 is a gapful number since it is divisible by the number (50) 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 541900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157985780).
541900800 is an abundant number, since it is smaller than the sum of its proper divisors (1774070760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
541900800 is an equidigital number, since it uses as much as digits as its factorization.
541900800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 61 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 27.
The square root of 541900800 is about 23278.7628537257. The cubic root of 541900800 is about 815.2796410761.
Multiplying 541900800 by its sum of digits (27), we get a square (14631321600 = 1209602).
541900800 divided by its sum of digits (27) gives a square (20070400 = 44802).
Adding to 541900800 its reverse (8009145), we get a palindrome (549909945).
The spelling of 541900800 in words is "five hundred forty-one million, nine hundred thousand, eight hundred".
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