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16284816 = 2432113089
BaseRepresentation
bin111110000111…
…110010010000
31010122100120100
4332013302100
513132103231
61341012400
7255263412
oct76076220
933570510
1016284816
119213029
125554100
1334b23b2
14223c9b2
15166a1e6
hexf87c90

16284816 has 30 divisors (see below), whose sum is σ = 45575270. Its totient is φ = 5428224.

The previous prime is 16284811. The next prime is 16284817. The reversal of 16284816 is 61848261.

16284816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 2624400 = 3696^2 + 1620^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (16284811) 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, 56401 + ... + 56688.

Almost surely, 216284816 is an apocalyptic number.

16284816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16284816 is an abundant number, since it is smaller than the sum of its proper divisors (29290454).

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

16284816 is a wasteful number, since it uses less digits than its factorization.

16284816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113103 (or 113094 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 16284816 is about 4035.4449568790. Note that the first 3 decimals coincide. The cubic root of 16284816 is about 253.4706150363.

The spelling of 16284816 in words is "sixteen million, two hundred eighty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 113089 226178 339267 452356 678534 904712 1017801 1357068 1809424 2035602 2714136 4071204 5428272 8142408 16284816