Base | Representation |
---|---|
bin | 10000001101100… |
… | …11111010000000 |
3 | 100110220200022120 |
4 | 20012303322000 |
5 | 234304100300 |
6 | 21255004240 |
7 | 3241002534 |
oct | 1006637200 |
9 | 313820276 |
10 | 136003200 |
11 | 6a852243 |
12 | 39669680 |
13 | 2223b088 |
14 | 140c3bc4 |
15 | be173a0 |
hex | 81b3e80 |
136003200 has 192 divisors, whose sum is σ = 463422720. Its totient is φ = 35020800.
The previous prime is 136003199. The next prime is 136003211. The reversal of 136003200 is 2300631.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-3 number, since 3×1360032003 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 136003200.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297372 + ... + 297828.
It is an arithmetic number, because the mean of its divisors is an integer number (2413660).
Almost surely, 2136003200 is an apocalyptic number.
136003200 is a gapful number since it is divisible by the number (10) 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 136003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231711360).
136003200 is an abundant number, since it is smaller than the sum of its proper divisors (327419520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136003200 is a wasteful number, since it uses less digits than its factorization.
136003200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 515 (or 498 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 136003200 is about 11662.0409877517. The cubic root of 136003200 is about 514.2603514829.
Adding to 136003200 its reverse (2300631), we get a palindrome (138303831).
The spelling of 136003200 in words is "one hundred thirty-six million, three thousand, two hundred".
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