Base | Representation |
---|---|
bin | 100000001011111… |
… | …011111100000000 |
3 | 1101122002211202000 |
4 | 200023323330000 |
5 | 2101220000000 |
6 | 125330024000 |
7 | 16244632011 |
oct | 4013737400 |
9 | 1348084660 |
10 | 540000000 |
11 | 2578a7aa1 |
12 | 130a18000 |
13 | 87b4b937 |
14 | 51a09008 |
15 | 3261a000 |
hex | 202fbf00 |
540000000 has 288 divisors, whose sum is σ = 1996088640. Its totient is φ = 144000000.
The previous prime is 539999983. The next prime is 540000023. The reversal of 540000000 is 45.
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 (288).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107999998 + ... + 108000002.
Almost surely, 2540000000 is an apocalyptic number.
540000000 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 540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998044320).
540000000 is an abundant number, since it is smaller than the sum of its proper divisors (1456088640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540000000 is an frugal number, since it uses more digits than its factorization.
540000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 20, while the sum is 9.
The square root of 540000000 is about 23237.9000772445. The cubic root of 540000000 is about 814.3252849785.
540000000 divided by its product of nonzero digits (20) gives a cube (27000000 = 3003).
Adding to 540000000 its reverse (45), we get a palindrome (540000045).
The spelling of 540000000 in words is "five hundred forty million", and thus it is an aban number.
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