Search a number
-
+
16442016 = 253171271
BaseRepresentation
bin111110101110…
…001010100000
31010221100012120
4332232022200
513202121031
61344224240
7256516623
oct76561240
933840176
1016442016
119310148
12560b080
133538b06
14227ddba
15169ba96
hexfae2a0

16442016 has 24 divisors (see below), whose sum is σ = 43160544. Its totient is φ = 5480640.

The previous prime is 16441991. The next prime is 16442029. The reversal of 16442016 is 61024461.

16442016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×164420163 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85540 + ... + 85731.

It is an arithmetic number, because the mean of its divisors is an integer number (1798356).

Almost surely, 216442016 is an apocalyptic number.

16442016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16442016 is an abundant number, since it is smaller than the sum of its proper divisors (26718528).

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

16442016 is a wasteful number, since it uses less digits than its factorization.

16442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171284 (or 171276 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 16442016 is about 4054.8755837880. The cubic root of 16442016 is about 254.2836024617.

Adding to 16442016 its reverse (61024461), we get a palindrome (77466477).

The spelling of 16442016 in words is "sixteen million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 171271 342542 513813 685084 1027626 1370168 2055252 2740336 4110504 5480672 8221008 16442016