| Base | Representation |
|---|---|
| bin | 11001011100100… |
| … | …01010011100000 |
| 3 | 112212122200201100 |
| 4 | 30232101103200 |
| 5 | 414121043341 |
| 6 | 33103034400 |
| 7 | 5201226660 |
| oct | 1456212340 |
| 9 | 485580640 |
| 10 | 213456096 |
| 11 | aa5437a7 |
| 12 | 5b59ba00 |
| 13 | 352b8ca9 |
| 14 | 204c61a0 |
| 15 | 13b163b6 |
| hex | cb914e0 |
213456096 has 144 divisors (see below), whose sum is σ = 700618464. Its totient is φ = 60383232.
The previous prime is 213456091. The next prime is 213456151. The reversal of 213456096 is 690654312.
It is a happy number.
213456096 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 560 + 96 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×2134560962 = 91127009839122432, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 213456096.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213456091) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227340 + ... + 228276.
It is an arithmetic number, because the mean of its divisors is an integer number (4865406).
Almost surely, 2213456096 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 213456096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350309232).
213456096 is an abundant number, since it is smaller than the sum of its proper divisors (487162368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213456096 is a wasteful number, since it uses less digits than its factorization.
213456096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1073 (or 1062 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 213456096 is about 14610.1367550068. The cubic root of 213456096 is about 597.6352253124.
The spelling of 213456096 in words is "two hundred thirteen million, four hundred fifty-six thousand, ninety-six".
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