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16417431 = 331135381
BaseRepresentation
bin111110101000…
…001010010111
31010220002111000
4332220022113
513200324211
61343514343
7256355142
oct76501227
933802430
1016417431
1192a3728
1255b89b3
13352a874
142275059
151694656
hexfa8297

16417431 has 16 divisors (see below), whose sum is σ = 24541920. Its totient is φ = 10846080.

The previous prime is 16417411. The next prime is 16417477. The reversal of 16417431 is 13471461.

It is a happy number.

It is not a de Polignac number, because 16417431 - 26 = 16417367 is a prime.

It is a super-2 number, since 2×164174312 = 539064081279522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16417395 and 16417404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16417411) 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, 361 + ... + 5741.

It is an arithmetic number, because the mean of its divisors is an integer number (1533870).

Almost surely, 216417431 is an apocalyptic number.

16417431 is a deficient number, since it is larger than the sum of its proper divisors (8124489).

16417431 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (16417430) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (5503).

16417431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5497 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 16417431 is about 4051.8429140331. The cubic root of 16417431 is about 254.1567996647.

Adding to 16417431 its reverse (13471461), we get a palindrome (29888892).

The spelling of 16417431 in words is "sixteen million, four hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 113 339 1017 3051 5381 16143 48429 145287 608053 1824159 5472477 16417431