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16005088 = 2511411109
BaseRepresentation
bin111101000011…
…011111100000
31010010010212001
4331003133200
513044130323
61331013344
7253020031
oct75033740
933103761
1016005088
119041950
12543a254
133414c88
1421a8a88
1516123ad
hexf437e0

16005088 has 48 divisors (see below), whose sum is σ = 35244720. Its totient is φ = 7091200.

The previous prime is 16005043. The next prime is 16005091. The reversal of 16005088 is 88050061.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13878 + ... + 14986.

It is an arithmetic number, because the mean of its divisors is an integer number (734265).

Almost surely, 216005088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16005088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622360).

16005088 is an abundant number, since it is smaller than the sum of its proper divisors (19239632).

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

16005088 is a wasteful number, since it uses less digits than its factorization.

16005088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 16005088 is about 4000.6359494460. The cubic root of 16005088 is about 252.0109174744.

The spelling of 16005088 in words is "sixteen million, five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1109 1312 1804 2218 3608 4436 7216 8872 12199 14432 17744 24398 35488 45469 48796 90938 97592 181876 195184 363752 390368 500159 727504 1000318 1455008 2000636 4001272 8002544 16005088