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16006928 = 2472171201
BaseRepresentation
bin111101000011…
…111100010000
31010010020101012
4331003330100
513044210203
61331030052
7253025300
oct75037420
933106335
1016006928
119043273
12543b328
133415a72
1421a9600
151612bd8
hexf43f10

16006928 has 60 divisors (see below), whose sum is σ = 38230812. Its totient is φ = 6451200.

The previous prime is 16006853. The next prime is 16006937. The reversal of 16006928 is 82960061.

16006928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 11478544 = 2128^2 + 3388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16006894 and 16006903.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12728 + ... + 13928.

Almost surely, 216006928 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 16006928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115406).

16006928 is an abundant number, since it is smaller than the sum of its proper divisors (22223884).

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

16006928 is a wasteful number, since it uses less digits than its factorization.

16006928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 16006928 is about 4000.8659062758. The cubic root of 16006928 is about 252.0205744518.

Adding to 16006928 its reverse (82960061), we get a palindrome (98966989).

The spelling of 16006928 in words is "sixteen million, six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1201 1666 1904 2402 3332 4804 6664 8407 9608 13328 16814 19216 20417 33628 40834 58849 67256 81668 117698 134512 142919 163336 235396 285838 326672 470792 571676 941584 1000433 1143352 2000866 2286704 4001732 8003464 16006928