Base | Representation |
---|---|
bin | 1111111110011… |
… | …10000001100000 |
3 | 100100011120022100 |
4 | 13333032001200 |
5 | 233301404044 |
6 | 21144210400 |
7 | 3215043345 |
oct | 777160140 |
9 | 310146270 |
10 | 134013024 |
11 | 69712a72 |
12 | 38a69a00 |
13 | 219c2262 |
14 | 13b267cc |
15 | bb72869 |
hex | 7fce060 |
134013024 has 72 divisors (see below), whose sum is σ = 383233032. Its totient is φ = 44421120.
The previous prime is 134012987. The next prime is 134013037. The reversal of 134013024 is 420310431.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 134012988 and 134013006.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54379 + ... + 56789.
It is an arithmetic number, because the mean of its divisors is an integer number (5322681).
Almost surely, 2134013024 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 134013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191616516).
134013024 is an abundant number, since it is smaller than the sum of its proper divisors (249220008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134013024 is a wasteful number, since it uses less digits than its factorization.
134013024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2620 (or 2609 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 134013024 is about 11576.3994402405. The cubic root of 134013024 is about 511.7395729608.
Subtracting from 134013024 its sum of digits (18), we obtain a triangular number (134013006 = T16371).
Adding to 134013024 its reverse (420310431), we get a palindrome (554323455).
The spelling of 134013024 in words is "one hundred thirty-four million, thirteen thousand, twenty-four".
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