Base | Representation |
---|---|
bin | 1100010101010… |
… | …10110011100000 |
3 | 21012200022112020 |
4 | 12022222303200 |
5 | 202441210224 |
6 | 14133301440 |
7 | 2364252561 |
oct | 612526340 |
9 | 235608466 |
10 | 103460064 |
11 | 53445094 |
12 | 2a794880 |
13 | 18585696 |
14 | da52168 |
15 | 9139c79 |
hex | 62aace0 |
103460064 has 96 divisors (see below), whose sum is σ = 282610944. Its totient is φ = 33116160.
The previous prime is 103460047. The next prime is 103460069. The reversal of 103460064 is 460064301.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103460069) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292912 + ... + 293264.
It is an arithmetic number, because the mean of its divisors is an integer number (2943864).
Almost surely, 2103460064 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 103460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141305472).
103460064 is an abundant number, since it is smaller than the sum of its proper divisors (179150880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103460064 is a wasteful number, since it uses less digits than its factorization.
103460064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 480 (or 472 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 103460064 is about 10171.5320379970. The cubic root of 103460064 is about 469.4516980072.
The spelling of 103460064 in words is "one hundred three million, four hundred sixty thousand, sixty-four".
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