| Base | Representation |
|---|---|
| bin | 11001011100011… |
| … | …00011010110000 |
| 3 | 112212121200021000 |
| 4 | 30232030122300 |
| 5 | 414114423310 |
| 6 | 33102402000 |
| 7 | 5201114424 |
| oct | 1456143260 |
| 9 | 485550230 |
| 10 | 213436080 |
| 11 | aa52a760 |
| 12 | 5b590300 |
| 13 | 352acb50 |
| 14 | 204bcb84 |
| 15 | 13b104c0 |
| hex | cb8c6b0 |
213436080 has 320 divisors, whose sum is σ = 864944640. Its totient is φ = 47692800.
The previous prime is 213436049. The next prime is 213436081. The reversal of 213436080 is 80634312.
It is a happy number.
213436080 is a `hidden beast` number, since 2 + 13 + 43 + 608 + 0 = 666.
213436080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213436081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308535 + ... + 309225.
It is an arithmetic number, because the mean of its divisors is an integer number (2702952).
Almost surely, 2213436080 is an apocalyptic number.
213436080 is a gapful number since it is divisible by the number (20) 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 213436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432472320).
213436080 is an abundant number, since it is smaller than the sum of its proper divisors (651508560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213436080 is a wasteful number, since it uses less digits than its factorization.
213436080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 737 (or 725 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 213436080 is about 14609.4517350926. The cubic root of 213436080 is about 597.6165444364.
The spelling of 213436080 in words is "two hundred thirteen million, four hundred thirty-six thousand, eighty".
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