Base | Representation |
---|---|
bin | 1100010100110… |
… | …10001111001000 |
3 | 21012112212102202 |
4 | 12022122033020 |
5 | 202432022300 |
6 | 14132015332 |
7 | 2363550662 |
oct | 612321710 |
9 | 235485382 |
10 | 103392200 |
11 | 533a90aa |
12 | 2a761548 |
13 | 18560822 |
14 | da35532 |
15 | 9124ad5 |
hex | 629a3c8 |
103392200 has 36 divisors (see below), whose sum is σ = 240721665. Its totient is φ = 41299360.
The previous prime is 103392139. The next prime is 103392209. The reversal of 103392200 is 2293301.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 101324356 + 2067844 = 10066^2 + 1438^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=7190.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (103392209) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143441 + ... + 144159.
Almost surely, 2103392200 is an apocalyptic number.
103392200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
103392200 is an abundant number, since it is smaller than the sum of its proper divisors (137329465).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103392200 is an frugal number, since it uses more digits than its factorization.
103392200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1454 (or 726 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 20.
The square root of 103392200 is about 10168.1955134626. The cubic root of 103392200 is about 469.3490308936.
The spelling of 103392200 in words is "one hundred three million, three hundred ninety-two thousand, two hundred".
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