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16420968 = 23358447
BaseRepresentation
bin111110101001…
…000001101000
31010220021100000
4332221001220
513200432333
61343543000
7256401354
oct76510150
933807300
1016420968
1192a6353
1255baa60
13352c365
142276464
151695713
hexfa9068

16420968 has 48 divisors (see below), whose sum is σ = 46126080. Its totient is φ = 5473008.

The previous prime is 16420961. The next prime is 16421023. The reversal of 16420968 is 86902461.

16420968 is a `hidden beast` number, since 1 + 642 + 0 + 9 + 6 + 8 = 666.

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 (16420961) 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 11 ways as a sum of consecutive naturals, for example, 2280 + ... + 6167.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 216420968 is an apocalyptic number.

16420968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16420968 is an abundant number, since it is smaller than the sum of its proper divisors (29705112).

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

16420968 is an equidigital number, since it uses as much as digits as its factorization.

16420968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8468 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16420968 is about 4052.2793585833. The cubic root of 16420968 is about 254.1750503490.

The spelling of 16420968 in words is "sixteen million, four hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 8447 16894 25341 33788 50682 67576 76023 101364 152046 202728 228069 304092 456138 608184 684207 912276 1368414 1824552 2052621 2736828 4105242 5473656 8210484 16420968