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16000116 = 22311472579
BaseRepresentation
bin111101000010…
…010001110100
31010002220000220
4331002101310
513044000431
61330534340
7252666366
oct75022164
933086026
1016000116
119039140
1254373b0
133412932
1421a6d36
151610b96
hexf42474

16000116 has 48 divisors (see below), whose sum is σ = 41610240. Its totient is φ = 4743520.

The previous prime is 16000097. The next prime is 16000121. The reversal of 16000116 is 61100061.

It is a junction number, because it is equal to n+sod(n) for n = 16000095 and 16000104.

It is a congruent number.

It is an unprimeable number.

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, 4915 + ... + 7493.

It is an arithmetic number, because the mean of its divisors is an integer number (866880).

Almost surely, 216000116 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 16000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805120).

16000116 is an abundant number, since it is smaller than the sum of its proper divisors (25610124).

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

16000116 is a wasteful number, since it uses less digits than its factorization.

16000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 16000116 is about 4000.0144999737. The cubic root of 16000116 is about 251.9848189393.

Adding to 16000116 its reverse (61100061), we get a palindrome (77100177).

The spelling of 16000116 in words is "sixteen million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 2579 3102 5158 6204 7737 10316 15474 28369 30948 56738 85107 113476 121213 170214 242426 340428 363639 484852 727278 1333343 1454556 2666686 4000029 5333372 8000058 16000116