Base | Representation |
---|---|
bin | 100000001100111… |
… | …011101110010000 |
3 | 1101122121010010110 |
4 | 200030323232100 |
5 | 2101301330024 |
6 | 125335401320 |
7 | 16250100504 |
oct | 4014735620 |
9 | 1348533113 |
10 | 540261264 |
11 | 257a66314 |
12 | 130b23240 |
13 | 87c1082a |
14 | 51a76304 |
15 | 3266c629 |
hex | 2033bb90 |
540261264 has 80 divisors (see below), whose sum is σ = 1436408064. Its totient is φ = 174873600.
The previous prime is 540261229. The next prime is 540261311. The reversal of 540261264 is 462162045.
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 15 ways as a sum of consecutive naturals, for example, 532822 + ... + 533834.
Almost surely, 2540261264 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 540261264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718204032).
540261264 is an abundant number, since it is smaller than the sum of its proper divisors (896146800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540261264 is a wasteful number, since it uses less digits than its factorization.
540261264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 30.
The square root of 540261264 is about 23243.5209036841. The cubic root of 540261264 is about 814.4565933604.
It can be divided in two parts, 5402 and 61264, that added together give a palindrome (66666).
The spelling of 540261264 in words is "five hundred forty million, two hundred sixty-one thousand, two hundred sixty-four".
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