| Base | Representation |
|---|---|
| bin | 11001011001110… |
| … | …01101000000000 |
| 3 | 112211222110002000 |
| 4 | 30230321220000 |
| 5 | 414023100320 |
| 6 | 33051224000 |
| 7 | 5165202636 |
| oct | 1454715000 |
| 9 | 484873060 |
| 10 | 213096960 |
| 11 | aa31899a |
| 12 | 5b448000 |
| 13 | 351c169b |
| 14 | 20431356 |
| 15 | 13a94c90 |
| hex | cb39a00 |
213096960 has 160 divisors (see below), whose sum is σ = 757183680. Its totient is φ = 56807424.
The previous prime is 213096953. The next prime is 213096977. The reversal of 213096960 is 69690312.
213096960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×2130969602 = 90820628722483200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 15 ways as a sum of consecutive naturals, for example, 67579 + ... + 70661.
It is an arithmetic number, because the mean of its divisors is an integer number (4732398).
Almost surely, 2213096960 is an apocalyptic number.
213096960 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 213096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378591840).
213096960 is an abundant number, since it is smaller than the sum of its proper divisors (544086720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213096960 is an equidigital number, since it uses as much as digits as its factorization.
213096960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3115 (or 3093 counting only the distinct ones).
The product of its (nonzero) digits is 17496, while the sum is 36.
The square root of 213096960 is about 14597.8409362481. The cubic root of 213096960 is about 597.2998670309.
The spelling of 213096960 in words is "two hundred thirteen million, ninety-six thousand, nine hundred sixty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.082 sec. • engine limits •