| Base | Representation |
|---|---|
| bin | 11000100000100… |
| … | …110111001100000 |
| 3 | 1001122202011220010 |
| 4 | 120200212321200 |
| 5 | 1320231413440 |
| 6 | 104445244520 |
| 7 | 13122103041 |
| oct | 3040467140 |
| 9 | 1048664803 |
| 10 | 411201120 |
| 11 | 1a1126540 |
| 12 | b5863740 |
| 13 | 67263a95 |
| 14 | 3c87c8c8 |
| 15 | 26177580 |
| hex | 18826e60 |
411201120 has 192 divisors, whose sum is σ = 1443972096. Its totient is φ = 97505280.
The previous prime is 411201101. The next prime is 411201137. The reversal of 411201120 is 21102114.
It is a happy number.
It is a super-2 number, since 2×4112011202 = 338172722178508800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 411201096 and 411201105.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 247332 + ... + 248988.
It is an arithmetic number, because the mean of its divisors is an integer number (7520688).
Almost surely, 2411201120 is an apocalyptic number.
411201120 is a gapful number since it is divisible by the number (40) 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 411201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721986048).
411201120 is an abundant number, since it is smaller than the sum of its proper divisors (1032770976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
411201120 is a wasteful number, since it uses less digits than its factorization.
411201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1733 (or 1725 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 411201120 is about 20278.0945850442. The cubic root of 411201120 is about 743.6206298062.
Adding to 411201120 its reverse (21102114), we get a palindrome (432303234).
The spelling of 411201120 in words is "four hundred eleven million, two hundred one thousand, one hundred twenty".
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