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16423128 = 2333139547
BaseRepresentation
bin111110101001…
…100011011000
31010220101022000
4332221203120
513201020003
61344001000
7256410561
oct76514330
933811260
1016423128
1192a7a37
125600160
133530337
142277168
1516961a3
hexfa98d8

16423128 has 64 divisors (see below), whose sum is σ = 46032000. Its totient is φ = 5425056.

The previous prime is 16423117. The next prime is 16423129. The reversal of 16423128 is 82132461.

16423128 is a `hidden beast` number, since 1 + 642 + 3 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16423129) 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 15 ways as a sum of consecutive naturals, for example, 29751 + ... + 30297.

It is an arithmetic number, because the mean of its divisors is an integer number (719250).

Almost surely, 216423128 is an apocalyptic number.

16423128 is a gapful number since it is divisible by the number (18) 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 16423128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016000).

16423128 is an abundant number, since it is smaller than the sum of its proper divisors (29608872).

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

16423128 is a wasteful number, since it uses less digits than its factorization.

16423128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 16423128 is about 4052.5458664894. The cubic root of 16423128 is about 254.1861945162.

Adding to 16423128 its reverse (82132461), we get a palindrome (98555589).

The spelling of 16423128 in words is "sixteen million, four hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 547 556 834 1094 1112 1251 1641 1668 2188 2502 3282 3336 3753 4376 4923 5004 6564 7506 9846 10008 13128 14769 15012 19692 29538 30024 39384 59076 76033 118152 152066 228099 304132 456198 608264 684297 912396 1368594 1824792 2052891 2737188 4105782 5474376 8211564 16423128