Search a number
-
+
16324128 = 253256681
BaseRepresentation
bin111110010001…
…011000100000
31010201100111100
4332101120200
513134333003
61341514400
7255516132
oct76213040
933640440
1016324128
11923a617
125572a00
1334c7262
14224d052
151676ba3
hexf91620

16324128 has 36 divisors (see below), whose sum is σ = 46422558. Its totient is φ = 5441280.

The previous prime is 16324127. The next prime is 16324151. The reversal of 16324128 is 82142361.

16324128 is a `hidden beast` number, since 1 + 632 + 4 + 1 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13927824 + 2396304 = 3732^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (16324123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28053 + ... + 28628.

Almost surely, 216324128 is an apocalyptic number.

16324128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16324128 is an abundant number, since it is smaller than the sum of its proper divisors (30098430).

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

16324128 is a wasteful number, since it uses less digits than its factorization.

16324128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56697 (or 56686 counting only the distinct ones).

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

The square root of 16324128 is about 4040.3128591732. The cubic root of 16324128 is about 253.6744128443.

Adding to 16324128 its reverse (82142361), we get a palindrome (98466489).

The spelling of 16324128 in words is "sixteen million, three hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 56681 113362 170043 226724 340086 453448 510129 680172 906896 1020258 1360344 1813792 2040516 2720688 4081032 5441376 8162064 16324128