| Base | Representation |
|---|---|
| bin | 11000100001000… |
| … | …010101110110000 |
| 3 | 1001122221222021100 |
| 4 | 120201002232300 |
| 5 | 1320244040440 |
| 6 | 104451524400 |
| 7 | 13123056306 |
| oct | 3041025660 |
| 9 | 1048858240 |
| 10 | 411315120 |
| 11 | 1a11a4157 |
| 12 | b58b9700 |
| 13 | 672a3938 |
| 14 | 3c8ac276 |
| 15 | 2619b230 |
| hex | 18842bb0 |
411315120 has 120 divisors (see below), whose sum is σ = 1429038000. Its totient is φ = 105896448.
The previous prime is 411315103. The next prime is 411315143. The reversal of 411315120 is 21513114.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×4113151202 = 338360255881228800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 411315093 and 411315102.
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 23 ways as a sum of consecutive naturals, for example, 11031 + ... + 30729.
It is an arithmetic number, because the mean of its divisors is an integer number (11908650).
Almost surely, 2411315120 is an apocalyptic number.
411315120 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 411315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714519000).
411315120 is an abundant number, since it is smaller than the sum of its proper divisors (1017722880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
411315120 is a wasteful number, since it uses less digits than its factorization.
411315120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19747 (or 19738 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 18.
The square root of 411315120 is about 20280.9053052372. The cubic root of 411315120 is about 743.6893430748.
Adding to 411315120 its reverse (21513114), we get a palindrome (432828234).
The spelling of 411315120 in words is "four hundred eleven million, three hundred fifteen thousand, one hundred twenty".
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