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16416001 = 729193419
BaseRepresentation
bin111110100111…
…110100000001
31010220000112001
4332213310001
513200303001
61343504001
7256351030
oct76476401
933800461
1016416001
1192a2648
1255b8001
13352a014
142274717
151694001
hexfa7d01

16416001 has 16 divisors (see below), whose sum is σ = 19555200. Its totient is φ = 13483008.

The previous prime is 16415969. The next prime is 16416007. The reversal of 16416001 is 10061461.

It is a happy number.

It is not a de Polignac number, because 16416001 - 25 = 16415969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16416001.

It is not an unprimeable number, because it can be changed into a prime (16416007) 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, 38970 + ... + 39388.

It is an arithmetic number, because the mean of its divisors is an integer number (1222200).

Almost surely, 216416001 is an apocalyptic number.

It is an amenable number.

16416001 is a deficient number, since it is larger than the sum of its proper divisors (3139199).

16416001 is a wasteful number, since it uses less digits than its factorization.

16416001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 16416001 is about 4051.6664472782. Note that the first 3 decimals coincide. The cubic root of 16416001 is about 254.1494202159.

Adding to 16416001 its reverse (10061461), we get a palindrome (26477462).

The spelling of 16416001 in words is "sixteen million, four hundred sixteen thousand, one".

Divisors: 1 7 29 193 203 419 1351 2933 5597 12151 39179 80867 85057 566069 2345143 16416001