| Base | Representation |
|---|---|
| bin | 11001111000100… |
| … | …01011101001000 |
| 3 | 120010120011212200 |
| 4 | 30330101131020 |
| 5 | 421041023403 |
| 6 | 33313440200 |
| 7 | 5244355350 |
| oct | 1474213510 |
| 9 | 503504780 |
| 10 | 217126728 |
| 11 | 101620585 |
| 12 | 60870060 |
| 13 | 35ca2970 |
| 14 | 20b9db60 |
| 15 | 140ddca3 |
| hex | cf11748 |
217126728 has 192 divisors, whose sum is σ = 747801600. Its totient is φ = 55365120.
The previous prime is 217126717. The next prime is 217126729. The reversal of 217126728 is 827621712.
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 nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 217126692 and 217126701.
It is not an unprimeable number, because it can be changed into a prime (217126729) 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 47 ways as a sum of consecutive naturals, for example, 202578 + ... + 203646.
It is an arithmetic number, because the mean of its divisors is an integer number (3894800).
Almost surely, 2217126728 is an apocalyptic number.
217126728 is a gapful number since it is divisible by the number (28) 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 217126728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373900800).
217126728 is an abundant number, since it is smaller than the sum of its proper divisors (530674872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
217126728 is a wasteful number, since it uses less digits than its factorization.
217126728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1132 (or 1125 counting only the distinct ones).
The product of its digits is 18816, while the sum is 36.
The square root of 217126728 is about 14735.2206634309. The cubic root of 217126728 is about 601.0414578965.
The spelling of 217126728 in words is "two hundred seventeen million, one hundred twenty-six thousand, seven hundred twenty-eight".
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