Base | Representation |
---|---|
bin | 111110100110… |
… | …111100001000 |
3 | 1010212211121120 |
4 | 332212330020 |
5 | 13200144144 |
6 | 1343435240 |
7 | 256334430 |
oct | 76467410 |
9 | 33784546 |
10 | 16412424 |
11 | 929a996 |
12 | 55b5b20 |
13 | 35284c2 |
14 | 22732c0 |
15 | 1692e19 |
hex | fa6f08 |
16412424 has 64 divisors (see below), whose sum is σ = 47216640. Its totient is φ = 4656960.
The previous prime is 16412419. The next prime is 16412437. The reversal of 16412424 is 42421461.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 16412394 and 16412403.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35217 + ... + 35679.
It is an arithmetic number, because the mean of its divisors is an integer number (737760).
Almost surely, 216412424 is an apocalyptic number.
16412424 is a gapful number since it is divisible by the number (14) 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 16412424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23608320).
16412424 is an abundant number, since it is smaller than the sum of its proper divisors (30804216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16412424 is a wasteful number, since it uses less digits than its factorization.
16412424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 690 (or 686 counting only the distinct ones).
The product of its digits is 1536, while the sum is 24.
The square root of 16412424 is about 4051.2249999229. The cubic root of 16412424 is about 254.1309593960.
Adding to 16412424 its reverse (42421461), we get a palindrome (58833885).
It can be divided in two parts, 16412 and 424, that added together give a triangular number (16836 = T183).
The spelling of 16412424 in words is "sixteen million, four hundred twelve thousand, four hundred twenty-four".
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