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16009056 = 253372647
BaseRepresentation
bin111101000100…
…011101100000
31010010100022000
4331010131200
513044242211
61331044000
7253034430
oct75043540
933110260
1016009056
119044928
125440600
133416a1b
1421aa2c0
151613656
hexf44760

16009056 has 96 divisors (see below), whose sum is σ = 53383680. Its totient is φ = 4572288.

The previous prime is 16009043. The next prime is 16009057. The reversal of 16009056 is 65090061.

16009056 is a `hidden beast` number, since 1 + 600 + 9 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×160090562 = 512579748022272, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16009057) 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 15 ways as a sum of consecutive naturals, for example, 4725 + ... + 7371.

It is an arithmetic number, because the mean of its divisors is an integer number (556080).

Almost surely, 216009056 is an apocalyptic number.

16009056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16009056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26691840).

16009056 is an abundant number, since it is smaller than the sum of its proper divisors (37374624).

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

16009056 is a wasteful number, since it uses less digits than its factorization.

16009056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 16009056 is about 4001.1318398673. The cubic root of 16009056 is about 252.0317420333.

The spelling of 16009056 in words is "sixteen million, nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 2647 3024 5294 6048 7941 10588 15882 18529 21176 23823 31764 37058 42352 47646 55587 63528 71469 74116 84704 95292 111174 127056 142938 148232 166761 190584 222348 254112 285876 296464 333522 381168 444696 500283 571752 592928 667044 762336 889392 1000566 1143504 1334088 1778784 2001132 2287008 2668176 4002264 5336352 8004528 16009056