Base | Representation |
---|---|
bin | 1110011011010… |
… | …1110100000100 |
3 | 11012212101222020 |
4 | 3212311310010 |
5 | 110442413130 |
6 | 10001003140 |
7 | 1333233213 |
oct | 346656404 |
9 | 135771866 |
10 | 60513540 |
11 | 3118179a |
12 | 183234b0 |
13 | c6c9939 |
14 | 807307a |
15 | 54a4e10 |
hex | 39b5d04 |
60513540 has 96 divisors (see below), whose sum is σ = 183907584. Its totient is φ = 14807040.
The previous prime is 60513539. The next prime is 60513553. The reversal of 60513540 is 4531506.
60513540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 60513540.
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, 41097 + ... + 42543.
It is an arithmetic number, because the mean of its divisors is an integer number (1915704).
Almost surely, 260513540 is an apocalyptic number.
60513540 is a gapful number since it is divisible by the number (60) 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 60513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91953792).
60513540 is an abundant number, since it is smaller than the sum of its proper divisors (123394044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60513540 is a wasteful number, since it uses less digits than its factorization.
60513540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1517 (or 1515 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 24.
The square root of 60513540 is about 7779.0449285243. The cubic root of 60513540 is about 392.6005043718.
It can be divided in two parts, 6051 and 3540, that added together give a triangular number (9591 = T138).
The spelling of 60513540 in words is "sixty million, five hundred thirteen thousand, five hundred forty".
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