Base | Representation |
---|---|
bin | 1110011101111… |
… | …0101010000000 |
3 | 11020011220110020 |
4 | 3213132222000 |
5 | 111013241312 |
6 | 10004333440 |
7 | 1334531022 |
oct | 347365200 |
9 | 136156406 |
10 | 60680832 |
11 | 31286453 |
12 | 183a4280 |
13 | c757b24 |
14 | 80b8012 |
15 | 54d978c |
hex | 39dea80 |
60680832 has 64 divisors (see below), whose sum is σ = 169687200. Its totient is φ = 19160064.
The previous prime is 60680801. The next prime is 60680843. The reversal of 60680832 is 23808606.
60680832 is digitally balanced in base 2, 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 (64).
It is a junction number, because it is equal to n+sod(n) for n = 60680793 and 60680802.
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 7 ways as a sum of consecutive naturals, for example, 3138 + ... + 11454.
Almost surely, 260680832 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 60680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84843600).
60680832 is an abundant number, since it is smaller than the sum of its proper divisors (109006368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60680832 is a wasteful number, since it uses less digits than its factorization.
60680832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8353 (or 8341 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 33.
The square root of 60680832 is about 7789.7902410784. The cubic root of 60680832 is about 392.9619578713.
The spelling of 60680832 in words is "sixty million, six hundred eighty thousand, eight hundred thirty-two".
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