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16406568 = 2332227869
BaseRepresentation
bin111110100101…
…100000101000
31010212112120200
4332211200220
513200002233
61343352200
7256311363
oct76454050
933775520
1016406568
119296552
1255b2660
133525939
1422710da
151691313
hexfa5828

16406568 has 24 divisors (see below), whose sum is σ = 44434650. Its totient is φ = 5468832.

The previous prime is 16406563. The next prime is 16406591. The reversal of 16406568 is 86560461.

16406568 is a `hidden beast` number, since 1 + 640 + 6 + 5 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16305444 + 101124 = 4038^2 + 318^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (16406563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113863 + ... + 114006.

Almost surely, 216406568 is an apocalyptic number.

16406568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16406568 is an abundant number, since it is smaller than the sum of its proper divisors (28028082).

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

16406568 is a wasteful number, since it uses less digits than its factorization.

16406568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227881 (or 227874 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 16406568 is about 4050.5021910869. The cubic root of 16406568 is about 254.1007309152.

The spelling of 16406568 in words is "sixteen million, four hundred six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227869 455738 683607 911476 1367214 1822952 2050821 2734428 4101642 5468856 8203284 16406568