| Base | Representation |
|---|---|
| bin | 11000100011110… |
| … | …010100000110000 |
| 3 | 1001201022112221000 |
| 4 | 120203302200300 |
| 5 | 1320440110440 |
| 6 | 104515202000 |
| 7 | 13132145400 |
| oct | 3043624060 |
| 9 | 1051275830 |
| 10 | 412035120 |
| 11 | 1a16460a2 |
| 12 | b5ba6300 |
| 13 | 67496583 |
| 14 | 3ca18800 |
| 15 | 2628e730 |
| hex | 188f2830 |
412035120 has 480 divisors, whose sum is σ = 1755691200. Its totient is φ = 88252416.
The previous prime is 412035109. The next prime is 412035131. The reversal of 412035120 is 21530214.
It is an interprime number because it is at equal distance from previous prime (412035109) and next prime (412035131).
It is a super-2 number, since 2×4120351202 = 339545880226828800, 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 = 412035093 and 412035102.
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 95 ways as a sum of consecutive naturals, for example, 1799166 + ... + 1799394.
It is an arithmetic number, because the mean of its divisors is an integer number (3657690).
Almost surely, 2412035120 is an apocalyptic number.
412035120 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 412035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877845600).
412035120 is an abundant number, since it is smaller than the sum of its proper divisors (1343656080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
412035120 is a wasteful number, since it uses less digits than its factorization.
412035120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 282 (or 263 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 412035120 is about 20298.6482308552. The cubic root of 412035120 is about 744.1230285621.
Adding to 412035120 its reverse (21530214), we get a palindrome (433565334).
The spelling of 412035120 in words is "four hundred twelve million, thirty-five thousand, one hundred twenty".
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