Base | Representation |
---|---|
bin | 1101000111001… |
… | …1111110000000 |
3 | 10211111100010121 |
4 | 3101303332000 |
5 | 103040012320 |
6 | 5242510024 |
7 | 1235333440 |
oct | 321637600 |
9 | 124440117 |
10 | 55000960 |
11 | 29057043 |
12 | 16505314 |
13 | b519761 |
14 | 743a120 |
15 | 4c668aa |
hex | 3473f80 |
55000960 has 64 divisors (see below), whose sum is σ = 150282720. Its totient is φ = 18855936.
The previous prime is 55000937. The next prime is 55000961. The reversal of 55000960 is 6900055.
It is a happy number.
55000960 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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (55000961) by changing a digit.
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, 1659 + ... + 10618.
Almost surely, 255000960 is an apocalyptic number.
It is an amenable number.
55000960 is an abundant number, since it is smaller than the sum of its proper divisors (95281760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55000960 is a wasteful number, since it uses less digits than its factorization.
55000960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12303 (or 12291 counting only the distinct ones).
The product of its (nonzero) digits is 1350, while the sum is 25.
The square root of 55000960 is about 7416.2632100000. The cubic root of 55000960 is about 380.2974586902.
The spelling of 55000960 in words is "fifty-five million, nine hundred sixty", and thus it is an aban number.
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