Base | Representation |
---|---|
bin | 100111110000… |
… | …000011000000 |
3 | 201121102010100 |
4 | 213300003000 |
5 | 10131423131 |
6 | 1011202400 |
7 | 154400136 |
oct | 47600300 |
9 | 21542110 |
10 | 10420416 |
11 | 5978016 |
12 | 35a6400 |
13 | 220b036 |
14 | 1553756 |
15 | dac7e6 |
hex | 9f00c0 |
10420416 has 84 divisors (see below), whose sum is σ = 30378400. Its totient is φ = 3414528.
The previous prime is 10420411. The next prime is 10420429. The reversal of 10420416 is 61402401.
It is a super-2 number, since 2×104204162 = 217170139226112, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10420411) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45390 + ... + 45618.
Almost surely, 210420416 is an apocalyptic number.
10420416 is a gapful number since it is divisible by the number (16) 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 10420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189200).
10420416 is an abundant number, since it is smaller than the sum of its proper divisors (19957984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10420416 is a wasteful number, since it uses less digits than its factorization.
10420416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 326 (or 313 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 10420416 is about 3228.0669138046. The cubic root of 10420416 is about 218.4213157958.
Adding to 10420416 its reverse (61402401), we get a palindrome (71822817).
The spelling of 10420416 in words is "ten million, four hundred twenty thousand, four hundred sixteen".
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