Base | Representation |
---|---|
bin | 1101001001001… |
… | …1101111110000 |
3 | 10211201221200100 |
4 | 3102103233300 |
5 | 103103143440 |
6 | 5245352400 |
7 | 1236415062 |
oct | 322235760 |
9 | 124657610 |
10 | 55131120 |
11 | 29135910 |
12 | 16568700 |
13 | b563a85 |
14 | 7471732 |
15 | 4c90230 |
hex | 3493bf0 |
55131120 has 120 divisors (see below), whose sum is σ = 202009392. Its totient is φ = 13363200.
The previous prime is 55131091. The next prime is 55131127. The reversal of 55131120 is 2113155.
55131120 is a `hidden beast` number, since 551 + 3 + 112 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 55131093 and 55131102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55131127) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4440 + ... + 11400.
Almost surely, 255131120 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 55131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101004696).
55131120 is an abundant number, since it is smaller than the sum of its proper divisors (146878272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55131120 is a wasteful number, since it uses less digits than its factorization.
55131120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6991 (or 6982 counting only the distinct ones).
The product of its (nonzero) digits is 150, while the sum is 18.
The square root of 55131120 is about 7425.0333332585. The cubic root of 55131120 is about 380.5972141947.
Adding to 55131120 its reverse (2113155), we get a palindrome (57244275).
The spelling of 55131120 in words is "fifty-five million, one hundred thirty-one thousand, one hundred twenty".
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