Base | Representation |
---|---|
bin | 1100010001110… |
… | …10101000100000 |
3 | 21011210222021100 |
4 | 12020322220200 |
5 | 202332004413 |
6 | 14115354400 |
7 | 2360330214 |
oct | 610725040 |
9 | 234728240 |
10 | 103000608 |
11 | 53160977 |
12 | 2a5b2a00 |
13 | 18454509 |
14 | d972944 |
15 | 9098a73 |
hex | 623aa20 |
103000608 has 72 divisors (see below), whose sum is σ = 295891596. Its totient is φ = 33984000.
The previous prime is 103000561. The next prime is 103000613. The reversal of 103000608 is 806000301.
It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 6411024 = 9828^2 + 2532^2 .
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 an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27318 + ... + 30858.
Almost surely, 2103000608 is an apocalyptic number.
103000608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 103000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147945798).
103000608 is an abundant number, since it is smaller than the sum of its proper divisors (192890988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103000608 is a wasteful number, since it uses less digits than its factorization.
103000608 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3658 (or 3647 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 103000608 is about 10148.9215190581. The cubic root of 103000608 is about 468.7557371031.
Adding to 103000608 its reverse (806000301), we get a palindrome (909000909).
The spelling of 103000608 in words is "one hundred three million, six hundred eight", and thus it is an aban number.
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