Base | Representation |
---|---|
bin | 1001111101001110… |
… | …10110001001110000 |
3 | 111210112102221222211 |
4 | 10332213112021300 |
5 | 41421420002130 |
6 | 2242231541504 |
7 | 246315510562 |
oct | 47647261160 |
9 | 14715387884 |
10 | 5345469040 |
11 | 22a341800a |
12 | 105222a894 |
13 | 6725b9642 |
14 | 389d0d332 |
15 | 214447a2a |
hex | 13e9d6270 |
5345469040 has 80 divisors (see below), whose sum is σ = 12821277600. Its totient is φ = 2071618560.
The previous prime is 5345469037. The next prime is 5345469047. The reversal of 5345469040 is 409645435.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 5345468984 and 5345469002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5345469047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318786 + ... + 335134.
It is an arithmetic number, because the mean of its divisors is an integer number (160265970).
Almost surely, 25345469040 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 5345469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410638800).
5345469040 is an abundant number, since it is smaller than the sum of its proper divisors (7475808560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5345469040 is a wasteful number, since it uses less digits than its factorization.
5345469040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16490 (or 16484 counting only the distinct ones).
The product of its (nonzero) digits is 259200, while the sum is 40.
The square root of 5345469040 is about 73112.7146261168. The cubic root of 5345469040 is about 1748.4851151431.
5345469040 divided by its sum of digits (40) gives a triangular number (133636726 = T16348).
The spelling of 5345469040 in words is "five billion, three hundred forty-five million, four hundred sixty-nine thousand, forty".
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