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16422120 = 233251121329
BaseRepresentation
bin111110101001…
…010011101000
31010220022220200
4332221103220
513201001440
61343552200
7256404621
oct76512350
933808820
1016422120
1192a7200
1255bb660
13352ca40
142276a48
151695c30
hexfa94e8

16422120 has 288 divisors, whose sum is σ = 65356200. Its totient is φ = 3548160.

The previous prime is 16422113. The next prime is 16422121. The reversal of 16422120 is 2122461.

16422120 is a `hidden beast` number, since 1 + 642 + 2 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10458756 + 5963364 = 3234^2 + 2442^2 .

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 = 16422093 and 16422102.

It is not an unprimeable number, because it can be changed into a prime (16422121) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 566266 + ... + 566294.

Almost surely, 216422120 is an apocalyptic number.

16422120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16422120 is the 2340-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678100).

16422120 is an abundant number, since it is smaller than the sum of its proper divisors (48934080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16422120 is a wasteful number, since it uses less digits than its factorization.

16422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16422120 is about 4052.4214983143. The cubic root of 16422120 is about 254.1809940265.

Adding to 16422120 its reverse (2122461), we get a palindrome (18544581).

The spelling of 16422120 in words is "sixteen million, four hundred twenty-two thousand, one hundred twenty".